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Author ID: ambrosio.luigi Recent zbMATH articles by "Ambrosio, Luigi"
Published as: Ambrosio, Luigi; Ambrosio, L.; Ambrosio, Luigo
Homepage: https://cvgmt.sns.it/person/3/
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

44 single-authored
22 Savaré, Giuseppe
17 Figalli, Alessio
14 Pallara, Diego
13 Gigli, Nicola
8 Buttazzo, Giuseppe
8 Trevisan, Dario
6 Crippa, Gianluca
6 De Lellis, Camillo
5 Colombo, Maria
5 Dal Maso, Gianni
5 De Giorgi, Ennio
5 De Philippis, Guido
5 Honda, Shouhei
5 Kirchheim, Bernd
5 Miranda, Michele jun.
5 Serra Cassano, Francesco
4 Alberti, Giovanni
4 Braides, Andrea
4 Di Marino, Simone
4 Fusco, Nicola
4 Maniglia, Stefania
4 Mondino, Andrea
4 Soner, Halil Mete
3 Bruè, Elia
3 Caffarelli, Luis Ángel
3 Da Prato, Giuseppe
3 Friesecke, Gero
3 Giannoulis, Johannes
3 Lecumberry, Myriam
3 Masnou, Simon
3 Paolini, Emanuele
3 Tortorelli, Vincenzo Maria
2 Ascenzi, Oscar
2 Bertrand, Jérôme
2 Bourgain, Jean
2 Brenier, Yann
2 Brézis, Haïm
2 Cabré, Xavier
2 Cannarsa, Piermarco
2 Fonseca, Irene
2 Forti, Marco
2 Frid, Hermano
2 Ghezzi, Roberta
2 Ghiraldin, Francesco
2 Glaudo, Federico
2 Magnani, Valentino
2 Mainini, Edoardo
2 Malý, Jan
2 Mantegazza, Carlo
2 Miranda, Mario J.
2 Mortola, Stefano
2 Nicolussi Golo, Sebastiano
2 Paul, Thierry
2 Pinamonti, Andrea
2 Portegies, Jacobus W.
2 Pratelli, Aldo
2 Rajala, Tapio
2 Rivière, Tristan
2 Schmidt, Thomas
2 Semola, Daniele
2 Serfaty, Sylvia
2 Spagnolo, Sergio
2 Speight, Gareth
2 Spinolo, Laura V.
2 Stra, Federico
2 Tewodrose, David
2 Tilli, Paolo
2 Villa, Elena
1 Bakry, Dominique
1 Baradat, Aymeric
1 Bernard, Patrick
1 Bouchut, François
1 Brena, Camillo
1 Capasso, Vincenzo
1 Carlotto, Alessandro
1 Caselles Costa, Vicent
1 Chang, Sun-Yung Alice
1 Colesanti, Andrea
1 Colli Franzone, Piero
1 Comi, Giovanni E.
1 Coscia, Alessandra
1 Crasta, Graziano
1 D’Ancona, Piero
1 De Cicco, Virginia
1 De Palma, Giacomo
1 Durand-Cartagena, Estibalitz
1 Erbar, Matthias
1 Faina, Loris
1 Feng, Jin
1 Fornasier, Massimo
1 Franchi, Bruno
1 Gangbo, Wilfrid
1 Garroni, Adriana
1 Giga, Yoshikazu
1 Giovannetti, Vittorio
1 Gobbino, Massimo
1 Goldman, Michael
1 Goldys, Beniamin
1 Hutchinson, John Edward
1 Katz, Mikhail G.
...and 44 more Co-Authors
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Serials

11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
8 Archive for Rational Mechanics and Analysis
8 Communications on Pure and Applied Mathematics
8 Journal of Functional Analysis
7 Calculus of Variations and Partial Differential Equations
6 Manuscripta Mathematica
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 The Journal of Geometric Analysis
5 Discrete and Continuous Dynamical Systems
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Mathematische Zeitschrift
4 Communications in Partial Differential Equations
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Advances in Mathematics
3 Duke Mathematical Journal
3 Journal für die Reine und Angewandte Mathematik
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Ricerche di Matematica
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Revista Matemática Iberoamericana
3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Bollettino della Unione Matemàtica Italiana. Serie VII. B
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Lecture Notes in Mathematics
3 Analysis and Geometry in Metric Spaces
3 Appunti dei Corsi Tenuti da Docenti della Scuola
2 Inventiones Mathematicae
2 Journal of Differential Equations
2 Mathematische Annalen
2 Acta Applicandae Mathematicae
2 Physica D
2 Probability Theory and Related Fields
2 SIAM Journal on Mathematical Analysis
2 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica
2 Interfaces and Free Boundaries
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Oberwolfach Reports
2 Appunti. Scuola Normale Superiore di Pisa (Nuova Serie)
2 Bollettino dell’Unione Matematica Italiana. Series IX
1 Computers & Mathematics with Applications
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Acta Mathematica
1 The Annals of Probability
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 Commentarii Mathematici Helvetici
1 Gazette des Mathématiciens
1 Indiana University Mathematics Journal
1 Journal of Differential Geometry
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Transactions of the American Mathematical Society
1 Rendiconti della Accademia Nazionale delle Scienze Detta dei XL. Memorie di Matemàtica. Serie V
1 Annals of Global Analysis and Geometry
1 Journal of the American Mathematical Society
1 Asymptotic Analysis
1 Differential and Integral Equations
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Journal of Elasticity
1 Notices of the American Mathematical Society
1 Set-Valued Analysis
1 NoDEA. Nonlinear Differential Equations and Applications
1 Methods and Applications of Analysis
1 Electronic Journal of Probability
1 Bernoulli
1 European Mathematical Society Newsletter
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Revista Matemática Complutense
1 Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Memorie di Matematica e Applicazioni. Serie V
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Hyperbolic Differential Equations
1 Advanced Studies in Pure Mathematics
1 Oxford Lecture Series in Mathematics and its Applications
1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series
1 Unitext
1 Networks and Heterogeneous Media
1 Analysis & PDE
1 Nonlinear Analysis. Theory, Methods & Applications
1 Journal de l’École Polytechnique – Mathématiques
1 Oxford Mathematical Monographs
1 Mathematics in Engineering
1 Springer Collected Works in Mathematics
1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie)
all top 5

Fields

140 Calculus of variations and optimal control; optimization (49-XX)
78 Partial differential equations (35-XX)
44 Measure and integration (28-XX)
37 Functional analysis (46-XX)
30 Differential geometry (53-XX)
29 Real functions (26-XX)
27 Global analysis, analysis on manifolds (58-XX)
26 Probability theory and stochastic processes (60-XX)
15 Operator theory (47-XX)
13 Ordinary differential equations (34-XX)
11 General and overarching topics; collections (00-XX)
11 Potential theory (31-XX)
11 Dynamical systems and ergodic theory (37-XX)
9 Functions of a complex variable (30-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Computer science (68-XX)
5 Mechanics of deformable solids (74-XX)
5 Fluid mechanics (76-XX)
5 Quantum theory (81-XX)
4 History and biography (01-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
2 Abstract harmonic analysis (43-XX)
2 Numerical analysis (65-XX)
2 Optics, electromagnetic theory (78-XX)
2 Geophysics (86-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
2 Information and communication theory, circuits (94-XX)
1 Topological groups, Lie groups (22-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Statistics (62-XX)

Publications by Year

Citations contained in zbMATH Open

202 Publications have been cited 10,581 times in 6,196 Documents Cited by Year
Functions of bounded variation and free discontinuity problems. Zbl 0957.49001
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
2000
Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
847
2008
Gradient flows in metric spaces and in the space of probability measures. Zbl 1090.35002
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
527
2005
Approximation of functionals depending on jumps by elliptic functionals via \(\Gamma\)-convergence. Zbl 0722.49020
Ambrosio, Luigi; Tortorelli, Vincenzo Maria
391
1990
Transport equation and Cauchy problem for BV vector fields. Zbl 1075.35087
Ambrosio, Luigi
342
2004
Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
267
2014
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Zbl 1312.53056
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
229
2014
Topics on analysis in metric spaces. Zbl 1080.28001
Ambrosio, Luigi; Tilli, Paolo
182
2004
On the approximation of free discontinuity problems. Zbl 0776.49029
Ambrosio, Luigi; Tortorelli, V. M.
179
1992
Entire solutions of semilinear elliptic equations in \(\mathbb{R}^{3}\) and a conjecture of De Giorgi. Zbl 0968.35041
Ambrosio, Luigi; Cabré, Xavier
171
2000
Currents in metric spaces. Zbl 0984.49025
Ambrosio, Luigi; Kirchheim, Bernd
163
2000
Lecture notes on optimal transport problems. Zbl 1047.35001
Ambrosio, Luigi
143
2003
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
140
2015
Rectifiable sets in metric and Banach spaces. Zbl 0966.28002
Ambrosio, Luigi; Kirchheim, Bernd
134
2000
Fine properties of functions with bounded deformation. Zbl 0890.49019
Ambrosio, Luigi; Coscia, Alessandra; Dal Maso, Gianni
119
1997
Riemannian Ricci curvature lower bounds in metric measure spaces with \(\sigma\)-finite measure. Zbl 1317.53060
Ambrosio, Luigi; Gigli, Nicola; Mondino, Andrea; Rajala, Tapio
117
2015
Existence theory for a new class of variational problems. Zbl 0711.49064
Ambrosio, L.
109
1990
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
106
2013
Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051
Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca
101
2011
On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property. Zbl 1121.35312
Alberti, Giovanni; Ambrosio, Luigi; Cabré, Xavier
98
2001
A compactness theorem for a new class of functions of bounded variation. Zbl 0767.49001
Ambrosio, L.
95
1989
Level set approach to mean curvature flow in arbitrary codimension. Zbl 0868.35046
Ambrosio, Luigi; Soner, Halil Mete
89
1996
Fine properties of sets of finite perimeter in doubling metric measure spaces. Zbl 1037.28002
Ambrosio, Luigi
88
2002
An optimal design problem with perimeter penalization. Zbl 0794.49040
Ambrosio, Luigi; Buttazzo, Giuseppe
87
1993
Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
75
2019
Connected components of sets of finite perimeter and applications to image processing. Zbl 0981.49024
Ambrosio, Luigi; Caselles, Vicent; Masnou, Simon; Morel, Jean-Michel
75
2001
A general chain rule for distributional derivatives. Zbl 0685.49027
Ambrosio, L.; Dal Maso, G.
74
1990
Existence and stability results in the \(L^1\) theory of optimal transportation. Zbl 1065.49026
Ambrosio, Luigi; Pratelli, Aldo
73
2003
On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals. Zbl 0769.49009
Ambrosio, Luigi; Dal Maso, Gianni
70
1992
Equivalent definitions of \(BV\) space and of total variation on metric measure spaces. Zbl 1302.26012
Ambrosio, Luigi; Di Marino, Simone
70
2014
Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. Zbl 1155.35313
Ambrosio, Luigo; Crippa, Gianluca
70
2008
Metric space valued functions of bounded variation. Zbl 0724.49027
Ambrosio, Luigi
70
1990
Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization. Zbl 0676.49029
Ambrosio, Luigi; Braides, Andrea
68
1990
Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046
Ambrosio, Luigi; Crippa, Gianluca
67
2014
A geometrical approach to monotone functions in \(\mathbb{R}^n\). Zbl 0934.49025
Alberti, Giovanni; Ambrosio, Luigi
67
1999
Special functions of bounded variation in doubling metric measure spaces. Zbl 1089.49039
Ambrosio, L.; Miranda, M. jun.; Pallara, D.
66
2004
Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces. Zbl 1002.28004
Ambrosio, Luigi
66
2001
A new type of functional in the calculus of variations. Zbl 0715.49014
De Giorgi, Ennio; Ambrosio, Luigi
65
1988
Line energies for gradient vector fields in the plane. Zbl 0960.49013
Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo
63
1999
Minimizing movements. Zbl 0957.49029
Ambrosio, Luigi
60
1995
Transport equation and Cauchy problem for non-smooth vector fields. Zbl 1159.35041
Ambrosio, Luigi
60
2008
Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028
Ambrosio, Luigi; Gangbo, Wilfrid
60
2008
Outer Minkowski content for some classes of closed sets. Zbl 1152.28005
Ambrosio, Luigi; Colesanti, Andrea; Villa, Elena
57
2008
Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105
Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo
57
2009
Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2–8, 2001. Zbl 1013.00028
Ambrosio, Luigi; Brenier, Yann; Buttazzo, Giusseppe; Caffarelli, Luis A.; Villani, Cédric
55
2003
A gradient flow approach to an evolution problem arising in superconductivity. Zbl 1171.35005
Ambrosio, Luigi; Serfaty, Sylvia
55
2008
Intrinsic regular hypersurfaces in Heisenberg groups. Zbl 1085.49045
Ambrosio, Luigi; Serra Cassano, Francesco; Vittone, Davide
51
2006
On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces. Zbl 1335.35088
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
51
2016
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
50
2014
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018
Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone
50
2015
Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence. Zbl 0676.49028
Ambrosio, Luigi; Braides, Andrea
47
1990
Optimal mass transportation in the Heisenberg group. Zbl 1076.49023
Ambrosio, L.; Rigot, S.
47
2004
On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036
Ambrosio, Luigi; Figalli, Alessio
46
2009
Calculus, heat flow and curvature-dimension bounds in metric measure spaces. Zbl 1475.30129
Ambrosio, Luigi
44
2018
On the singularities of convex functions. Zbl 0784.49011
Alberti, G.; Ambrosio, L.; Cannarsa, P.
41
1992
Gradient flows in metric spaces and in the spaces of probability measures, and applications to Fokker-Planck equations with respect to log-concave measures. Zbl 1210.28005
Ambrosio, Luigi
40
2008
A new proof of the SBV compactness theorem. Zbl 0837.49011
Ambrosio, Luigi
40
1995
A measure theoretic approach to higher codimension mean curvature flows. Zbl 1043.35136
Ambrosio, Luigi; Soner, Halil Mete
40
1997
Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. Zbl 0689.49025
Ambrosio, Luigi; Ascenzi, Oscar; Buttazzo, Giuseppe
38
1989
Existence of optimal transport maps for crystalline norms. Zbl 1076.49022
Ambrosio, L.; Kirchheim, B.; Pratelli, A.
38
2004
Functionals with linear growth defined on vector valued BV functions. Zbl 0662.49007
Ambrosio, L.; Mortola, S.; Tortorelli, V. M.
37
1991
BV functions in abstract Wiener spaces. Zbl 1194.46066
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego
36
2010
Variational problems in SBV and image segmentation. Zbl 0697.49004
Ambrosio, Luigi
34
1989
On the lower semicontinuity of quasiconvex integrals in \(\text{SBV}(\Omega ,\mathbf R^ k)\). Zbl 0817.49017
Ambrosio, Luigi
34
1994
A direct variational approach to a problem arising in image reconstruction. Zbl 1029.49037
Ambrosio, Luigi; Masnou, Simon
34
2003
Traces and fine properties of a \(BD\) class of vector fields and applications. Zbl 1091.35007
Ambrosio, Luigi; Crippa, Gianluca; Maniglia, Stefania
34
2005
On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027
Ambrosio, Luigi; Feng, Jin
33
2014
A PDE approach to a 2-dimensional matching problem. Zbl 1480.60017
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
32
2019
Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022
Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia
31
2011
Energies in SBV and variational models in fracture mechanics. Zbl 0904.73045
Ambrosio, L.; Braides, A.
31
1995
Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane. Zbl 1187.28008
Ambrosio, Luigi; Kleiner, Bruce; Le Donne, Enrico
30
2009
Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. Zbl 1231.35186
Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry
29
2011
Some new well-posedness results for continuity and transport equations, and applications to the chromatography system. Zbl 1222.35060
Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V.
29
2009
Geometric evolution problems, distance function and viscosity solutions. Zbl 0956.35002
Ambrosio, L.
28
2000
New stability results for sequences of metric measure spaces with uniform Ricci bounds from below. Zbl 1485.53051
Ambrosio, Luigi; Honda, Shouhei
28
2017
Partial regularity of free discontinuity sets. II. Zbl 0896.49024
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
27
1997
Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007
Ambrosio, Luigi; Figalli, Alessio
24
2009
Weak and strong convergence of derivations and stability of flows with respect to MGH convergence. Zbl 1355.53033
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
23
2017
Gradient flows of probability measures. Zbl 1203.35002
Ambrosio, Luigi; Savaré, Giuseppe
23
2007
Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation. Zbl 0713.49005
Ambrosio, Luigi
23
1990
Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case. Zbl 1258.35164
Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio
22
2012
Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116
Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo
22
2004
On the propagation of singularities of semi-convex functions. Zbl 0874.49041
Ambrosio, L.; Cannarsa, P.; Soner, H. M.
21
1993
Introduction to geometric measure theory and minimal surfaces. (Corso introduttivo alla teoria geometrica della misura ed alle superfici minime.) Zbl 0977.49028
Ambrosio, Luigi
21
1997
Lectures on elliptic partial differential equations. Zbl 1416.35001
Ambrosio, Luigi; Carlotto, Alessandro; Massaccesi, Annalisa
21
2018
Construction of the parallel transport in the Wasserstein space. Zbl 1179.28009
Ambrosio, Luigi; Gigli, Nicola
20
2008
Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
20
2015
Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces. Zbl 1431.53046
Ambrosio, Luigi; Brué, Elia; Semola, Daniele
20
2019
On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations. Zbl 1138.49031
Ambrosio, Luigi; Figalli, Alessio
20
2008
Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow. Zbl 1370.26014
Lecumberry, Myriam; Ambrosio, Luigi; Maniglia, Stefania
20
2005
A boundary-value problem for nematic liquid crystals with a variable degree of orientation. Zbl 0736.49031
Ambrosio, Luigi; Virga, Epifanio G.
19
1991
On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems. Zbl 1200.49043
Ambrosio, Luigi; De Lellis, Camillo; Malý, Jan
19
2007
BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034
Ambrosio, L.; Ghezzi, R.; Magnani, V.
19
2015
On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005
Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe
19
2015
Weak differentiability of BV functions on stratified groups. Zbl 1048.49030
Ambrosio, Luigi; Magnani, Valentino
19
2003
A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. Zbl 1071.35032
Ambrosio, Luigi; De Lellis, Camillo
19
2004
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1292.53029
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
18
2013
Multiscale Young measures in almost periodic homogenization and applications. Zbl 1182.28015
Ambrosio, Luigi; Frid, Hermano
18
2009
Short-time behavior of the heat kernel and Weyl’s law on \(\mathrm{RCD}^*(K,N)\) spaces. Zbl 1390.58015
Ambrosio, Luigi; Honda, Shouhei; Tewodrose, David
18
2018
BMO-type norms related to the perimeter of sets. Zbl 1352.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio
18
2016
Optimal \(C^\infty\)-approximation of functions with exponentially or sub-exponentially integrable derivative. Zbl 1510.46015
Ambrosio, Luigi; Nicolussi Golo, Sebastiano; Serra Cassano, Francesco
2
2023
On the quadratic random matching problem in two-dimensional domains. Zbl 1487.60017
Ambrosio, Luigi; Goldman, Michael; Trevisan, Dario
1
2022
Embedding of \(\mathrm{RCD}^\ast (K,N)\) spaces in \(L^2\) via eigenfunctions. Zbl 1478.53021
Ambrosio, Luigi; Honda, Shouhei; Portegies, Jacobus W.; Tewodrose, David
10
2021
Spatially inhomogeneous evolutionary games. Zbl 1470.91038
Ambrosio, Luigi; Fornasier, Massimo; Morandotti, Marco; Savaré, Giuseppe
10
2021
Lectures on optimal transport. Zbl 1485.49001
Ambrosio, Luigi; Brué, Elia; Semola, Daniele
4
2021
Linear extension operators between spaces of Lipschitz maps and optimal transport. Zbl 1445.49024
Ambrosio, Luigi; Puglisi, Daniele
13
2020
Heat and entropy flows in Carnot groups. Zbl 1439.53032
Ambrosio, Luigi; Stefani, Giorgio
3
2020
Critical weak-\(L^p\) differentiability of singular integrals. Zbl 1459.42017
Ambrosio, Luigi; Ponce, Augusto C.; Rodiac, Rémy
2
2020
Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
75
2019
A PDE approach to a 2-dimensional matching problem. Zbl 1480.60017
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
32
2019
Rigidity of the 1-Bakry-Émery inequality and sets of finite Perimeter in RCD spaces. Zbl 1431.53046
Ambrosio, Luigi; Brué, Elia; Semola, Daniele
20
2019
Finer estimates on the \(2\)-dimensional matching problem. (Estimations plus fines sur le problème de couplage.) Zbl 1434.60054
Ambrosio, Luigi; Glaudo, Federico
9
2019
On the optimal map in the 2-dimensional random matching problem. Zbl 1476.60020
Ambrosio, Luigi; Glaudo, Federico; Trevisan, Dario
9
2019
Weighted Sobolev spaces on metric measure spaces. Zbl 1417.46020
Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth
7
2019
Calculus, heat flow and curvature-dimension bounds in metric measure spaces. Zbl 1475.30129
Ambrosio, Luigi
44
2018
Lectures on elliptic partial differential equations. Zbl 1416.35001
Ambrosio, Luigi; Carlotto, Alessandro; Massaccesi, Annalisa
21
2018
Short-time behavior of the heat kernel and Weyl’s law on \(\mathrm{RCD}^*(K,N)\) spaces. Zbl 1390.58015
Ambrosio, Luigi; Honda, Shouhei; Tewodrose, David
18
2018
Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces. Zbl 1402.53034
Ambrosio, Luigi; Honda, Shouhei
17
2018
DC calculus. Zbl 1395.58011
Ambrosio, Luigi; Bertrand, Jérôme
11
2018
Gaussian optimizers for entropic inequalities in quantum information. Zbl 1395.81062
De Palma, Giacomo; Trevisan, Dario; Giovannetti, Vittorio; Ambrosio, Luigi
10
2018
Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and \(\mathrm{RCD}(K,\infty)\) spaces. Zbl 1412.46043
Ambrosio, Luigi; Bruè, Elia; Trevisan, Dario
8
2018
Continuity of nonlinear eigenvalues in \(\mathrm{CD}(K,\infty )\) spaces with respect to measured Gromov-Hausdorff convergence. Zbl 1392.49008
Ambrosio, Luigi; Honda, Shouhei; Portegies, Jacobus W.
6
2018
Partial regularity for mass-minimizing currents in Hilbert spaces. Zbl 1391.30067
Ambrosio, Luigi; De Lellis, Camillo; Schmidt, Thomas
4
2018
Anisotropic surface measures as limits of volume fractions. Zbl 1408.49008
Ambrosio, Luigi; Comi, Giovanni E.
3
2018
New stability results for sequences of metric measure spaces with uniform Ricci bounds from below. Zbl 1485.53051
Ambrosio, Luigi; Honda, Shouhei
28
2017
Weak and strong convergence of derivations and stability of flows with respect to MGH convergence. Zbl 1355.53033
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
23
2017
Lecture notes on the DiPerna-Lions theory in abstract measure spaces. Zbl 1402.35003
Ambrosio, Luigi; Trevisan, Dario
14
2017
Perimeter as relaxed Minkowski content in metric measure spaces. Zbl 1359.28002
Ambrosio, Luigi; Di Marino, Simone; Gigli, Nicola
12
2017
On the Lagrangian structure of transport equations: the Vlasov-Poisson system. Zbl 1403.35085
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
12
2017
Well posedness of ODE’s and continuity equations with nonsmooth vector fields, and applications. Zbl 1380.37039
Ambrosio, Luigi
10
2017
Diffusion, optimal transport and Ricci curvature for metric measure space. Zbl 1429.58041
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
3
2017
On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces. Zbl 1335.35088
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
51
2016
BMO-type norms related to the perimeter of sets. Zbl 1352.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio
18
2016
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Zbl 1337.49075
Ambrosio, Luigi; Erbar, Matthias; Savaré, Giuseppe
16
2016
Gaussian-type isoperimetric inequalities in \(\mathsf{RCD}(K,\infty)\) probability spaces for positive \(K\). Zbl 1351.49056
Ambrosio, Luigi; Mondino, Andrea
11
2016
Sobolev and bounded variation functions on metric measure spaces. Zbl 1362.53002
Ambrosio, Luigi; Ghezzi, Roberta
5
2016
On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018
Ambrosio, Luigi; Bertrand, Jérôme
5
2016
The regularity theory of area-minimizing integral currents [after Almgren-De Lellis-Spadaro]. Zbl 1470.49001
Ambrosio, Luigi
2
2016
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
140
2015
Riemannian Ricci curvature lower bounds in metric measure spaces with \(\sigma\)-finite measure. Zbl 1317.53060
Ambrosio, Luigi; Gigli, Nicola; Mondino, Andrea; Rajala, Tapio
117
2015
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018
Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone
50
2015
Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
20
2015
BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034
Ambrosio, L.; Ghezzi, R.; Magnani, V.
19
2015
On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005
Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe
19
2015
Tensorization of Cheeger energies, the space \(H^{1, 1}\) and the area formula for graphs. Zbl 1345.46025
Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth
14
2015
Some fine properties of BV functions on Wiener spaces. Zbl 1321.26058
Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego
4
2015
Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
267
2014
Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Zbl 1312.53056
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
229
2014
Equivalent definitions of \(BV\) space and of total variation on metric measure spaces. Zbl 1302.26012
Ambrosio, Luigi; Di Marino, Simone
70
2014
Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046
Ambrosio, Luigi; Crippa, Gianluca
67
2014
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
50
2014
On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027
Ambrosio, Luigi; Feng, Jin
33
2014
A global existence result for the semigeostrophic equations in three dimensional convex domains. Zbl 1287.35064
Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio
17
2014
Perimeter of sets and BMO-type norms. (Périmètre d’ensembles et normes de type BMO.) Zbl 1316.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haïm; Figalli, Alessio
5
2014
Slopes of Kantorovich potentials and existence of optimal transport maps in metric measure spaces. Zbl 1283.49055
Ambrosio, Luigi; Rajala, Tapio
3
2014
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
106
2013
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1292.53029
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
18
2013
A variational model for plastic slip and its regularization via \(\Gamma \)-convergence. Zbl 1326.74112
Ambrosio, Luigi; Lemenant, Antoine; Royer-Carfagni, Gianni
11
2013
Selected papers. Edited by Luigi Ambrosio, Gianni Dal Maso, Marco Forti, Mario Miranda and Sergio A. Spagnolo. Reprint of the 2006 edition. Zbl 1279.00037
De Giorgi, Ennio
7
2013
A nonautonomous chain rule in \(W ^{1,p }\) and \(BV\). Zbl 1270.26013
Ambrosio, Luigi; Crasta, Graziano; De Cicco, Virginia; De Philippis, Guido
6
2013
On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces. Zbl 1282.28002
Ambrosio, Luigi; Figalli, Alessio; Runa, Eris
5
2013
Compactness results for normal currents and the plateau problem in dual Banach spaces. Zbl 1275.49073
Ambrosio, Luigi; Schmidt, Thomas
3
2013
Flat chains of finite size in metric spaces. Zbl 1261.49013
Ambrosio, Luigi; Ghiraldin, Francesco
2
2013
An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below. Zbl 1271.49028
Ambrosio, Luigi
2
2013
Compactness of special functions of bounded higher variation. Zbl 1266.49090
Ambrosio, Luigi; Ghiraldin, Francesco
1
2013
Existence of Eulerian solutions to the semigeostrophic equations in physical space: The 2-dimensional periodic case. Zbl 1258.35164
Ambrosio, Luigi; Colombo, Maria; De Philippis, Guido; Figalli, Alessio
22
2012
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below – the compact case. Zbl 1288.58016
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
8
2012
Bounded variation with respect to a log-concave measure. Zbl 1257.26009
Ambrosio, Luigi; Da Prato, Giuseppe; Goldys, Ben; Pallara, Diego
3
2012
Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051
Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca
101
2011
Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022
Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia
31
2011
Semiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial data. Zbl 1231.35186
Ambrosio, Luigi; Figalli, Alessio; Friesecke, Gero; Giannoulis, Johannes; Paul, Thierry
29
2011
Introduction to measure theory and integration. Zbl 1264.28001
Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea
17
2011
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces. Zbl 1228.60063
Ambrosio, Luigi; Figalli, Alessio
12
2011
The flow associated to weakly differentiable vector fields: recent results and open problems. Zbl 1248.35048
Ambrosio, Luigi
10
2011
Flat currents modulo \(p\) in metric spaces and filling radius inequalities. Zbl 1222.49057
Ambrosio, Luigi; Katz, Mikhail G.
9
2011
Rectifiability of flat chains in Banach spaces with coefficients in \(\mathbb Z_p\). Zbl 1229.49049
Ambrosio, Luigi; Wenger, Stefan
7
2011
Existence and uniqueness results for the continuity equation and applications to the chromatography system. Zbl 1248.35119
Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V.
3
2011
Regularity of optimal transport maps and partial differential inclusions. Zbl 1241.35033
Ambrosio, Luigi; De Philippis, Guido; Kirchheim, Bernd
3
2011
BV functions in abstract Wiener spaces. Zbl 1194.46066
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego
36
2010
Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions. Zbl 1203.35192
Ambrosio, Luigi; Friesecke, Gero; Giannoulis, Johannes
12
2010
Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability. Zbl 1196.28023
Ambrosio, Luigi; Miranda, Michele jun.; Pallara, Diego
11
2010
Almost everywhere well-posedness of continuity equations with measure initial data. (Existence presque partout des équations de continuité avec données initiales mesures.) Zbl 1195.35202
Ambrosio, Luigi; Figalli, Alessio
8
2010
Locality of the perimeter in Carnot groups and chain rule. Zbl 1203.28001
Ambrosio, Luigi; Scienza, Matteo
7
2010
BV functions in a Hilbert space with respect to a Gaussian measure. Zbl 1206.26014
Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego
5
2010
Towards a theory of BV functions in abstract Wiener spaces. Zbl 1200.26011
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego
5
2010
Infinite-dimensional porous media equations and optimal transportation. Zbl 1239.35064
Ambrosio, Luigi; Mainini, Edoardo
2
2010
Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105
Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo
57
2009
On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036
Ambrosio, Luigi; Figalli, Alessio
46
2009
Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane. Zbl 1187.28008
Ambrosio, Luigi; Kleiner, Bruce; Le Donne, Enrico
30
2009
Some new well-posedness results for continuity and transport equations, and applications to the chromatography system. Zbl 1222.35060
Ambrosio, Luigi; Crippa, Gianluca; Figalli, Alessio; Spinolo, Laura V.
29
2009
Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007
Ambrosio, Luigi; Figalli, Alessio
24
2009
Multiscale Young measures in almost periodic homogenization and applications. Zbl 1182.28015
Ambrosio, Luigi; Frid, Hermano
18
2009
On the approximation of mean densities of random closed sets. Zbl 1253.60007
Ambrosio, Luigi; Capasso, Vincenzo; Villa, Elena
14
2009
Multiscale Young measures in homogenization of continuous stationary processes in compact spaces and applications. Zbl 1180.35065
Ambrosio, Luigi; Frid, Hermano; Silva, Jean
7
2009
Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
847
2008
Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. Zbl 1155.35313
Ambrosio, Luigo; Crippa, Gianluca
70
2008
Transport equation and Cauchy problem for non-smooth vector fields. Zbl 1159.35041
Ambrosio, Luigi
60
2008
Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028
Ambrosio, Luigi; Gangbo, Wilfrid
60
2008
Outer Minkowski content for some classes of closed sets. Zbl 1152.28005
Ambrosio, Luigi; Colesanti, Andrea; Villa, Elena
57
2008
A gradient flow approach to an evolution problem arising in superconductivity. Zbl 1171.35005
Ambrosio, Luigi; Serfaty, Sylvia
55
2008
...and 102 more Documents
all top 5

Cited by 5,226 Authors

109 Ambrosio, Luigi
66 Carrillo de la Plata, José Antonio
64 Novaga, Matteo
58 Valdinoci, Enrico
57 Figalli, Alessio
48 Chambolle, Antonin
48 Savaré, Giuseppe
47 Gigli, Nicola
47 Santambrogio, Filippo
44 Fonseca, Irene
41 Braides, Andrea
40 Mazón Ruiz, José M.
38 Conti, Sergio
37 Fusco, Nicola
37 Lahti, Panu
36 Crippa, Gianluca
34 Caselles Costa, Vicent
33 Bellettini, Giovanni
31 De Lellis, Camillo
31 De Philippis, Guido
31 Peletier, Mark Adriaan
30 Shanmugalingam, Nageswari
29 Giacomini, Alessandro
28 Bogachev, Vladimir Igorevich
28 Mielke, Alexander
27 Bianchini, Stefano
27 Sturm, Karl-Theodor
26 Mondino, Andrea
26 Ponsiglione, Marcello
25 Bucur, Dorin
25 Dal Maso, Gianni
25 Fuchs, Martin
25 Leoni, Giovanni
25 Röckner, Michael
25 Wick, Thomas
24 Morini, Massimiliano
24 Pratelli, Aldo
23 Cannarsa, Piermarco
23 Cardaliaguet, Pierre
23 Solombrino, Francesco
22 Friedrich, Manuel
22 Gangbo, Wilfrid
22 Maggi, Francesco
22 Magnani, Valentino
22 Pasqualetto, Enrico
22 Rossi, Riccarda
21 Burger, Martin
21 Carlier, Guillaume
21 Dipierro, Serena
21 Focardi, Matteo
21 Honda, Shouhei
21 Pallara, Diego
20 Cicalese, Marco
20 Leonardi, Gian Paolo
20 Marigonda, Antonio
20 Stefanelli, Ulisse
20 Wei, Juncheng
19 Bildhauer, Michael
19 Bruè, Elia
19 Buttazzo, Giuseppe
19 Cavalletti, Fabio
19 Crismale, Vito
19 De Cicco, Virginia
19 Francfort, Gilles A.
19 McCann, Robert J.
19 Miranda, Michele jun.
19 Pinamonti, Andrea
19 Schönlieb, Carola-Bibiane
19 Segura de León, Sergio
19 Sire, Yannick
19 Slepčev, Dejan
18 Babadjian, Jean-François
18 Colombo, Maria
18 Farina, Alberto
18 Li, Wuchen
18 Matthes, Daniel
18 Rajala, Tapio
18 Rindler, Filip
18 Rossi, Julio Daniel
18 Serfaty, Sylvia
17 Fornasier, Massimo
17 Garroni, Adriana
17 Mucci, Domenico
17 Orlandi, Giandomenico
17 Rumpf, Martin
17 Trevisan, Dario
17 Vittone, Davide
17 Wirth, Benedikt
16 Balogh, Zoltán M.
16 Bredies, Kristian
16 Crasta, Graziano
16 Da Prato, Giuseppe
16 Flandoli, Franco
16 Fragalà, Ilaria
16 Goldman, Michael
16 Jabin, Pierre-Emmanuel
16 Luo, Dejun
16 Masnou, Simon
16 Omari, Pierpaolo
16 Serra Cassano, Francesco
...and 5,126 more Authors
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Cited in 511 Serials

381 Calculus of Variations and Partial Differential Equations
279 Archive for Rational Mechanics and Analysis
198 Journal of Functional Analysis
195 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
159 Journal of Differential Equations
155 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
148 SIAM Journal on Mathematical Analysis
134 Journal of Mathematical Analysis and Applications
129 Journal de Mathématiques Pures et Appliquées. Neuvième Série
118 Computer Methods in Applied Mechanics and Engineering
100 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
92 The Journal of Geometric Analysis
81 Journal of Mathematical Imaging and Vision
79 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
79 Communications in Partial Differential Equations
76 Transactions of the American Mathematical Society
71 Discrete and Continuous Dynamical Systems
66 Proceedings of the American Mathematical Society
64 Advances in Calculus of Variations
63 Advances in Mathematics
62 Annali di Matematica Pura ed Applicata. Serie Quarta
54 Comptes Rendus. Mathématique. Académie des Sciences, Paris
52 Journal of the European Mathematical Society (JEMS)
51 Journal of Computational Physics
50 NoDEA. Nonlinear Differential Equations and Applications
47 Communications in Mathematical Physics
47 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
47 SIAM Journal on Imaging Sciences
45 Applied Mathematics and Optimization
44 Analysis and Geometry in Metric Spaces
42 Mathematische Annalen
42 Potential Analysis
41 Manuscripta Mathematica
40 Journal of Mathematical Sciences (New York)
39 Mathematische Zeitschrift
38 Communications on Pure and Applied Mathematics
36 SIAM Journal on Control and Optimization
35 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
34 Journal of Nonlinear Science
33 Journal für die Reine und Angewandte Mathematik
33 Revista Matemática Iberoamericana
32 Inventiones Mathematicae
32 Communications in Contemporary Mathematics
31 Discrete and Continuous Dynamical Systems. Series S
26 Probability Theory and Related Fields
26 Interfaces and Free Boundaries
26 Journal of Evolution Equations
25 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
24 Journal of Statistical Physics
24 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
24 Journal of Elasticity
24 Journal of Convex Analysis
24 Inverse Problems and Imaging
23 Rendiconti del Seminario Matematico della Università di Padova
23 The Annals of Applied Probability
23 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
23 Stochastic Processes and their Applications
22 Inverse Problems
22 Journal of the Mechanics and Physics of Solids
22 Numerische Mathematik
22 Computational Mechanics
22 Geometric and Functional Analysis. GAFA
21 Journal of Scientific Computing
21 Nonlinear Analysis. Real World Applications
20 Journal d’Analyse Mathématique
20 Nonlinearity
20 SIAM Journal on Applied Mathematics
20 Electronic Journal of Probability
19 Journal of Optimization Theory and Applications
19 Communications on Pure and Applied Analysis
18 The Annals of Probability
18 Indiana University Mathematics Journal
18 Physica D
18 European Journal of Applied Mathematics
18 Foundations of Computational Mathematics
17 Journal of Mathematical Physics
17 Duke Mathematical Journal
17 Memoirs of the American Mathematical Society
17 SIAM Journal on Numerical Analysis
17 SIAM Journal on Scientific Computing
17 Milan Journal of Mathematics
17 Networks and Heterogeneous Media
16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Quarterly of Applied Mathematics
16 International Journal of Computer Vision
16 Kinetic and Related Models
15 Computers & Mathematics with Applications
15 Journal of the London Mathematical Society. Second Series
15 Acta Applicandae Mathematicae
15 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
15 Journal of Dynamics and Differential Equations
15 Continuum Mechanics and Thermodynamics
15 Bulletin des Sciences Mathématiques
15 Bernoulli
15 Analysis & PDE
14 Mathematics of Computation
14 International Journal for Numerical Methods in Engineering
14 Applied Mathematics Letters
14 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
14 Annales Academiae Scientiarum Fennicae. Mathematica
...and 411 more Serials
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Cited in 59 Fields

2,561 Partial differential equations (35-XX)
2,303 Calculus of variations and optimal control; optimization (49-XX)
793 Differential geometry (53-XX)
736 Mechanics of deformable solids (74-XX)
644 Probability theory and stochastic processes (60-XX)
626 Numerical analysis (65-XX)
486 Real functions (26-XX)
482 Measure and integration (28-XX)
481 Functional analysis (46-XX)
425 Global analysis, analysis on manifolds (58-XX)
344 Fluid mechanics (76-XX)
339 Statistical mechanics, structure of matter (82-XX)
300 Information and communication theory, circuits (94-XX)
289 Operator theory (47-XX)
261 Computer science (68-XX)
212 Biology and other natural sciences (92-XX)
201 Operations research, mathematical programming (90-XX)
187 Functions of a complex variable (30-XX)
185 Dynamical systems and ergodic theory (37-XX)
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138 Statistics (62-XX)
136 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
127 Convex and discrete geometry (52-XX)
126 Potential theory (31-XX)
125 Systems theory; control (93-XX)
87 General topology (54-XX)
83 Quantum theory (81-XX)
76 Topological groups, Lie groups (22-XX)
76 Integral equations (45-XX)
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67 Mechanics of particles and systems (70-XX)
66 Geometry (51-XX)
44 Combinatorics (05-XX)
38 Abstract harmonic analysis (43-XX)
36 Optics, electromagnetic theory (78-XX)
35 Approximations and expansions (41-XX)
35 Geophysics (86-XX)
30 Difference and functional equations (39-XX)
30 Classical thermodynamics, heat transfer (80-XX)
27 Manifolds and cell complexes (57-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
25 Several complex variables and analytic spaces (32-XX)
21 Group theory and generalizations (20-XX)
19 Relativity and gravitational theory (83-XX)
18 General and overarching topics; collections (00-XX)
14 Algebraic topology (55-XX)
10 Number theory (11-XX)
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2 Field theory and polynomials (12-XX)
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2 Category theory; homological algebra (18-XX)
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1 Mathematics education (97-XX)

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