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Author ID: ambrosio.luigi Recent zbMATH articles by "Ambrosio, Luigi"
Published as: Ambrosio, Luigi; Ambrosio, L.; Ambrosio, Luigo
External Links: MGP · Wikidata · GND · IdRef · theses.fr
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Co-Authors

44 single-authored
21 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.
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 Serra Cassano, Francesco
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 Paolini, Emanuele
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 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.
1 Kleiner, Bruce
1 Le Donne, Enrico
...and 42 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
6 Manuscripta Mathematica
6 Calculus of Variations and Partial Differential Equations
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 The Journal of Geometric Analysis
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
4 Discrete and Continuous Dynamical Systems
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 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 Equations
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 Springer Collected Works in Mathematics
1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie)
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Fields

139 Calculus of variations and optimal control; optimization (49-XX)
76 Partial differential equations (35-XX)
44 Measure and integration (28-XX)
34 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)
14 Operator theory (47-XX)
13 Ordinary differential equations (34-XX)
11 General and overarching topics; collections (00-XX)
11 Dynamical systems and ergodic theory (37-XX)
10 Potential theory (31-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

196 Publications have been cited 8,759 times in 5,220 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
606
2008
Gradient flows in metric spaces and in the space of probability measures. Zbl 1090.35002
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
391
2005
Approximation of functionals depending on jumps by elliptic functionals via \(\Gamma\)-convergence. Zbl 0722.49020
Ambrosio, Luigi; Tortorelli, Vincenzo Maria
328
1990
Transport equation and Cauchy problem for BV vector fields. Zbl 1075.35087
Ambrosio, Luigi
292
2004
Metric measure spaces with Riemannian Ricci curvature bounded from below. Zbl 1304.35310
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
196
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
172
2014
Entire solutions of semilinear elliptic equations in \(\mathbb{R}^{3}\) and a conjecture of De Giorgi. Zbl 0968.35041
Ambrosio, Luigi; Cabré, Xavier
153
2000
Topics on analysis in metric spaces. Zbl 1080.28001
Ambrosio, Luigi; Tilli, Paolo
152
2004
On the approximation of free discontinuity problems. Zbl 0776.49029
Ambrosio, Luigi; Tortorelli, V. M.
145
1992
Currents in metric spaces. Zbl 0984.49025
Ambrosio, Luigi; Kirchheim, Bernd
143
2000
Lecture notes on optimal transport problems. Zbl 1047.35001
Ambrosio, Luigi
125
2003
Rectifiable sets in metric and Banach spaces. Zbl 0966.28002
Ambrosio, Luigi; Kirchheim, Bernd
117
2000
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
107
2015
Fine properties of functions with bounded deformation. Zbl 0890.49019
Ambrosio, Luigi; Coscia, Alessandra; Dal Maso, Gianni
105
1997
Existence theory for a new class of variational problems. Zbl 0711.49064
Ambrosio, L.
102
1990
A compactness theorem for a new class of functions of bounded variation. Zbl 0767.49001
Ambrosio, L.
92
1989
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
91
2001
Gamma-convergence of nonlocal perimeter functionals. Zbl 1207.49051
Ambrosio, Luigi; De Philippis, Guido; Martinazzi, Luca
90
2011
Riemannian Ricci curvature lower bounds in metric measure spaces with \(\sigma\)-finite measure. Zbl 1317.53060
Ambrosio, Luigi; Gigli, Nicola; Mondino, Andrea; Rajala, Tapio
87
2015
Level set approach to mean curvature flow in arbitrary codimension. Zbl 0868.35046
Ambrosio, Luigi; Soner, Halil Mete
82
1996
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
78
2013
An optimal design problem with perimeter penalization. Zbl 0794.49040
Ambrosio, Luigi; Buttazzo, Giuseppe
76
1993
A general chain rule for distributional derivatives. Zbl 0685.49027
Ambrosio, L.; Dal Maso, G.
70
1990
Fine properties of sets of finite perimeter in doubling metric measure spaces. Zbl 1037.28002
Ambrosio, Luigi
68
2002
Metric space valued functions of bounded variation. Zbl 0724.49027
Ambrosio, Luigi
66
1990
A geometrical approach to monotone functions in \(\mathbb{R}^n\). Zbl 0934.49025
Alberti, Giovanni; Ambrosio, Luigi
64
1999
Existence and stability results in the \(L^1\) theory of optimal transportation. Zbl 1065.49026
Ambrosio, Luigi; Pratelli, Aldo
64
2003
On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals. Zbl 0769.49009
Ambrosio, Luigi; Dal Maso, Gianni
63
1992
Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization. Zbl 0676.49029
Ambrosio, Luigi; Braides, Andrea
62
1990
Connected components of sets of finite perimeter and applications to image processing. Zbl 0981.49024
Ambrosio, Luigi; Caselles, Vicent; Masnou, Simon; Morel, Jean-Michel
61
2001
Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046
Ambrosio, Luigi; Crippa, Gianluca
59
2014
Equivalent definitions of \(BV\) space and of total variation on metric measure spaces. Zbl 1302.26012
Ambrosio, Luigi; Di Marino, Simone
58
2014
Special functions of bounded variation in doubling metric measure spaces. Zbl 1089.49039
Ambrosio, L.; Miranda, M. jun.; Pallara, D.
58
2004
A new type of functional in the calculus of variations. Zbl 0715.49014
De Giorgi, Ennio; Ambrosio, Luigi
58
1988
Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces. Zbl 1002.28004
Ambrosio, Luigi
56
2001
Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. Zbl 1155.35313
Ambrosio, Luigo; Crippa, Gianluca
55
2008
Line energies for gradient vector fields in the plane. Zbl 0960.49013
Ambrosio, Luigi; De Lellis, Camillo; Mantegazza, Carlo
55
1999
Existence and stability for Fokker-Planck equations with log-concave reference measure. Zbl 1235.60105
Ambrosio, Luigi; Savaré, Giuseppe; Zambotti, Lorenzo
52
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
52
2003
Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028
Ambrosio, Luigi; Gangbo, Wilfrid
52
2008
A gradient flow approach to an evolution problem arising in superconductivity. Zbl 1171.35005
Ambrosio, Luigi; Serfaty, Sylvia
51
2008
Minimizing movements. Zbl 0957.49029
Ambrosio, Luigi
49
1995
Outer Minkowski content for some classes of closed sets. Zbl 1152.28005
Ambrosio, Luigi; Colesanti, Andrea; Villa, Elena
48
2008
Intrinsic regular hypersurfaces in Heisenberg groups. Zbl 1085.49045
Ambrosio, Luigi; Serra Cassano, Francesco; Vittone, Davide
48
2006
Optimal mass transportation in the Heisenberg group. Zbl 1076.49023
Ambrosio, L.; Rigot, S.
45
2004
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
45
2014
On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036
Ambrosio, Luigi; Figalli, Alessio
41
2009
Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence. Zbl 0676.49028
Ambrosio, Luigi; Braides, Andrea
40
1990
Transport equation and Cauchy problem for non-smooth vector fields. Zbl 1159.35041
Ambrosio, Luigi
40
2008
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
On the singularities of convex functions. Zbl 0784.49011
Alberti, G.; Ambrosio, L.; Cannarsa, P.
40
1992
Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. Zbl 0689.49025
Ambrosio, Luigi; Ascenzi, Oscar; Buttazzo, Giuseppe
38
1989
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018
Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone
37
2015
Functionals with linear growth defined on vector valued BV functions. Zbl 0662.49007
Ambrosio, L.; Mortola, S.; Tortorelli, V. M.
36
1991
A new proof of the SBV compactness theorem. Zbl 0837.49011
Ambrosio, Luigi
36
1995
BV functions in abstract Wiener spaces. Zbl 1194.46066
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego
36
2010
A measure theoretic approach to higher codimension mean curvature flows. Zbl 1043.35136
Ambrosio, Luigi; Soner, Halil Mete
35
1997
Existence of optimal transport maps for crystalline norms. Zbl 1076.49022
Ambrosio, L.; Kirchheim, B.; Pratelli, A.
34
2004
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
33
2016
Traces and fine properties of a \(BD\) class of vector fields and applications. Zbl 1091.35007
Ambrosio, Luigi; Crippa, Gianluca; Maniglia, Stefania
31
2005
A direct variational approach to a problem arising in image reconstruction. Zbl 1029.49037
Ambrosio, Luigi; Masnou, Simon
31
2003
Variational problems in SBV and image segmentation. Zbl 0697.49004
Ambrosio, Luigi
30
1989
On the lower semicontinuity of quasiconvex integrals in \(\text{SBV}(\Omega ,\mathbf R^ k)\). Zbl 0817.49017
Ambrosio, Luigi
29
1994
Energies in SBV and variational models in fracture mechanics. Zbl 0904.73045
Ambrosio, L.; Braides, A.
28
1995
On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027
Ambrosio, Luigi; Feng, Jin
27
2014
Partial regularity of free discontinuity sets. II. Zbl 0896.49024
Ambrosio, Luigi; Fusco, Nicola; Pallara, Diego
27
1997
Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022
Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia
27
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.
26
2009
A PDE approach to a 2-dimensional matching problem. Zbl 1480.60017
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
24
2019
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
24
2011
Geometric evolution problems, distance function and viscosity solutions. Zbl 0956.35002
Ambrosio, L.
22
2000
Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane. Zbl 1187.28008
Ambrosio, Luigi; Kleiner, Bruce; Le Donne, Enrico
22
2009
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
21
2012
On the propagation of singularities of semi-convex functions. Zbl 0874.49041
Ambrosio, L.; Cannarsa, P.; Soner, H. M.
21
1993
Existence of minimal energy configurations of nematic liquid crystals with variable degree of orientation. Zbl 0713.49005
Ambrosio, Luigi
21
1990
Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007
Ambrosio, Luigi; Figalli, Alessio
21
2009
Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
20
2019
Introduction to geometric measure theory and minimal surfaces. (Corso introduttivo alla teoria geometrica della misura ed alle superfici minime.) Zbl 0977.49028
Ambrosio, Luigi
20
1997
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
Weak and strong convergence of derivations and stability of flows with respect to MGH convergence. Zbl 1355.53033
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
18
2017
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
18
2004
On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations. Zbl 1138.49031
Ambrosio, Luigi; Figalli, Alessio
18
2008
A boundary-value problem for nematic liquid crystals with a variable degree of orientation. Zbl 0736.49031
Ambrosio, Luigi; Virga, Epifanio G.
18
1991
Weak differentiability of BV functions on stratified groups. Zbl 1048.49030
Ambrosio, Luigi; Magnani, Valentino
17
2003
Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow. Zbl 1370.26014
Lecumberry, Myriam; Ambrosio, Luigi; Maniglia, Stefania
17
2005
Partial regularity of free discontinuity sets. I. Zbl 0896.49023
Ambrosio, Luigi; Pallara, Diego
17
1997
BMO-type norms related to the perimeter of sets. Zbl 1352.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio
17
2016
Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
17
2015
Construction of the parallel transport in the Wasserstein space. Zbl 1179.28009
Ambrosio, Luigi; Gigli, Nicola
17
2008
Gradient flows of probability measures. Zbl 1203.35002
Ambrosio, Luigi; Savaré, Giuseppe
17
2007
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
16
2014
Calculus, heat flow and curvature-dimension bounds in metric measure spaces. Zbl 1475.30129
Ambrosio, Luigi
16
2018
Multiscale Young measures in almost periodic homogenization and applications. Zbl 1182.28015
Ambrosio, Luigi; Frid, Hermano
16
2009
Selected topics on “Analysis in metric spaces”. Zbl 1084.28500
Ambrosio, Luigi; Tilli, Paolo
15
2000
On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005
Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe
15
2015
BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034
Ambrosio, L.; Ghezzi, R.; Magnani, V.
15
2015
Lectures on elliptic partial differential equations. Zbl 1416.35001
Ambrosio, Luigi; Carlotto, Alessandro; Massaccesi, Annalisa
14
2018
Partial regularity for quasi minimizers of perimeter. Zbl 0943.49032
Ambrosio, Luigi; Paolini, Emanuele
14
1999
Regularity of solutions of a degenerate elliptic variational problem. Zbl 0716.49031
Ambrosio, Luigi
14
1990
Spatially inhomogeneous evolutionary games. Zbl 1470.91038
Ambrosio, Luigi; Fornasier, Massimo; Morandotti, Marco; Savaré, Giuseppe
3
2021
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
3
2021
Linear extension operators between spaces of Lipschitz maps and optimal transport. Zbl 1445.49024
Ambrosio, Luigi; Puglisi, Daniele
7
2020
Critical weak-\(L^p\) differentiability of singular integrals. Zbl 1459.42017
Ambrosio, Luigi; Ponce, Augusto C.; Rodiac, Rémy
1
2020
Heat and entropy flows in Carnot groups. Zbl 1439.53032
Ambrosio, Luigi; Stefani, Giorgio
1
2020
A PDE approach to a 2-dimensional matching problem. Zbl 1480.60017
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
24
2019
Nonlinear diffusion equations and curvature conditions in metric measure spaces. Zbl 1477.49003
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe
20
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
12
2019
On the optimal map in the 2-dimensional random matching problem. Zbl 1476.60020
Ambrosio, Luigi; Glaudo, Federico; Trevisan, Dario
7
2019
Weighted Sobolev spaces on metric measure spaces. Zbl 1417.46020
Ambrosio, Luigi; Pinamonti, Andrea; Speight, Gareth
6
2019
Finer estimates on the \(2\)-dimensional matching problem. (Estimations plus fines sur le problème de couplage.) Zbl 1434.60054
Ambrosio, Luigi; Glaudo, Federico
5
2019
Calculus, heat flow and curvature-dimension bounds in metric measure spaces. Zbl 1475.30129
Ambrosio, Luigi
16
2018
Lectures on elliptic partial differential equations. Zbl 1416.35001
Ambrosio, Luigi; Carlotto, Alessandro; Massaccesi, Annalisa
14
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
13
2018
Local spectral convergence in \(\mathrm{RCD}^\ast(K, N)\) spaces. Zbl 1402.53034
Ambrosio, Luigi; Honda, Shouhei
11
2018
DC calculus. Zbl 1395.58011
Ambrosio, Luigi; Bertrand, Jérôme
8
2018
Gaussian optimizers for entropic inequalities in quantum information. Zbl 1395.81062
De Palma, Giacomo; Trevisan, Dario; Giovannetti, Vittorio; Ambrosio, Luigi
7
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
6
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.
5
2018
Anisotropic surface measures as limits of volume fractions. Zbl 1408.49008
Ambrosio, Luigi; Comi, Giovanni E.
3
2018
Partial regularity for mass-minimizing currents in Hilbert spaces. Zbl 1391.30067
Ambrosio, Luigi; De Lellis, Camillo; Schmidt, Thomas
3
2018
Weak and strong convergence of derivations and stability of flows with respect to MGH convergence. Zbl 1355.53033
Ambrosio, Luigi; Stra, Federico; Trevisan, Dario
18
2017
Lecture notes on the DiPerna-Lions theory in abstract measure spaces. Zbl 1402.35003
Ambrosio, Luigi; Trevisan, Dario
12
2017
On the Lagrangian structure of transport equations: the Vlasov-Poisson system. Zbl 1403.35085
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
11
2017
Well posedness of ODE’s and continuity equations with nonsmooth vector fields, and applications. Zbl 1380.37039
Ambrosio, Luigi
10
2017
Perimeter as relaxed Minkowski content in metric measure spaces. Zbl 1359.28002
Ambrosio, Luigi; Di Marino, Simone; Gigli, Nicola
7
2017
Diffusion, optimal transport and Ricci curvature for metric measure space. Zbl 1429.58041
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
1
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
33
2016
BMO-type norms related to the perimeter of sets. Zbl 1352.46026
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio
17
2016
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. Zbl 1337.49075
Ambrosio, Luigi; Erbar, Matthias; Savaré, Giuseppe
10
2016
Gaussian-type isoperimetric inequalities in \(\mathsf{RCD}(K,\infty)\) probability spaces for positive \(K\). Zbl 1351.49056
Ambrosio, Luigi; Mondino, Andrea
9
2016
On the regularity of Alexandrov surfaces with curvature bounded below. Zbl 1353.53018
Ambrosio, Luigi; Bertrand, Jérôme
4
2016
Sobolev and bounded variation functions on metric measure spaces. Zbl 1362.53002
Ambrosio, Luigi; Ghezzi, Roberta
3
2016
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. Zbl 1307.49044
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
107
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
87
2015
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope. Zbl 1370.46018
Ambrosio, Luigi; Colombo, Maria; Di Marino, Simone
37
2015
Existence and uniqueness of maximal regular flows for non-smooth vector fields. Zbl 1348.34039
Ambrosio, Luigi; Colombo, Maria; Figalli, Alessio
17
2015
On the duality between \(p\)-modulus and probability measures. Zbl 1331.28005
Ambrosio, Luigi; Di Marino, Simone; Savaré, Giuseppe
15
2015
BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034
Ambrosio, L.; Ghezzi, R.; Magnani, V.
15
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
11
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
196
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
172
2014
Continuity equations and ODE flows with non-smooth velocity. Zbl 1358.37046
Ambrosio, Luigi; Crippa, Gianluca
59
2014
Equivalent definitions of \(BV\) space and of total variation on metric measure spaces. Zbl 1302.26012
Ambrosio, Luigi; Di Marino, Simone
58
2014
Well-posedness of Lagrangian flows and continuity equations in metric measure spaces. Zbl 1357.49058
Ambrosio, Luigi; Trevisan, Dario
45
2014
On a class of first order Hamilton-Jacobi equations in metric spaces. Zbl 1283.49027
Ambrosio, Luigi; Feng, Jin
27
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
16
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
1
2014
Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Zbl 1287.46027
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
78
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
13
2013
A variational model for plastic slip and its regularization via \(\Gamma \)-convergence. Zbl 1326.74112
Ambrosio, Luigi; Lemenant, Antoine; Royer-Carfagni, Gianni
9
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
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
5
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
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
21
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
6
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
90
2011
Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. Zbl 1233.49022
Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia
27
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
24
2011
Introduction to measure theory and integration. Zbl 1264.28001
Ambrosio, Luigi; Da Prato, Giuseppe; Mennucci, Andrea
13
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
8
2011
Flat currents modulo \(p\) in metric spaces and filling radius inequalities. Zbl 1222.49057
Ambrosio, Luigi; Katz, Mikhail G.
8
2011
Rectifiability of flat chains in Banach spaces with coefficients in \(\mathbb Z_p\). Zbl 1229.49049
Ambrosio, Luigi; Wenger, Stefan
5
2011
Regularity of optimal transport maps and partial differential inclusions. Zbl 1241.35033
Ambrosio, Luigi; De Philippis, Guido; Kirchheim, Bernd
3
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
BV functions in abstract Wiener spaces. Zbl 1194.46066
Ambrosio, Luigi; Miranda, Michele jun.; Maniglia, Stefania; Pallara, Diego
36
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
Passage from quantum to classical molecular dynamics in the presence of Coulomb interactions. Zbl 1203.35192
Ambrosio, Luigi; Friesecke, Gero; Giannoulis, Johannes
10
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
6
2010
Locality of the perimeter in Carnot groups and chain rule. Zbl 1203.28001
Ambrosio, Luigi; Scienza, Matteo
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
BV functions in a Hilbert space with respect to a Gaussian measure. Zbl 1206.26014
Ambrosio, Luigi; Da Prato, Giuseppe; Pallara, Diego
4
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
52
2009
On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions. Zbl 1156.60036
Ambrosio, Luigi; Figalli, Alessio
41
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.
26
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
22
2009
Geodesics in the space of measure-preserving maps and plans. Zbl 1253.76007
Ambrosio, Luigi; Figalli, Alessio
21
2009
Multiscale Young measures in almost periodic homogenization and applications. Zbl 1182.28015
Ambrosio, Luigi; Frid, Hermano
16
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
5
2009
Gradient flows in metric spaces and in the space of probability measures. 2nd ed. Zbl 1145.35001
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe
606
2008
Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields. Zbl 1155.35313
Ambrosio, Luigo; Crippa, Gianluca
55
2008
Hamiltonian ODEs in the Wasserstein space of probability measures. Zbl 1132.37028
Ambrosio, Luigi; Gangbo, Wilfrid
52
2008
A gradient flow approach to an evolution problem arising in superconductivity. Zbl 1171.35005
Ambrosio, Luigi; Serfaty, Sylvia
51
2008
Outer Minkowski content for some classes of closed sets. Zbl 1152.28005
Ambrosio, Luigi; Colesanti, Andrea; Villa, Elena
48
2008
Transport equation and Cauchy problem for non-smooth vector fields. Zbl 1159.35041
Ambrosio, Luigi
40
2008
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
On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations. Zbl 1138.49031
Ambrosio, Luigi; Figalli, Alessio
18
2008
Construction of the parallel transport in the Wasserstein space. Zbl 1179.28009
Ambrosio, Luigi; Gigli, Nicola
17
2008
Uniqueness of signed measures solving the continuity equation for Osgood vector fields. Zbl 1204.35069
Ambrosio, Luigi; Bernard, Patrick
10
2008
Gradient flows of probability measures. Zbl 1203.35002
Ambrosio, Luigi; Savaré, Giuseppe
17
2007
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
13
2007
...and 96 more Documents
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Cited by 4,406 Authors

103 Ambrosio, Luigi
59 Novaga, Matteo
56 Carrillo de la Plata, José Antonio
56 Valdinoci, Enrico
54 Figalli, Alessio
45 Chambolle, Antonin
42 Gigli, Nicola
41 Savaré, Giuseppe
38 Braides, Andrea
38 Fonseca, Irene
38 Santambrogio, Filippo
37 Conti, Sergio
36 Fusco, Nicola
34 Mazón Ruiz, José M.
33 Caselles Costa, Vicent
32 Crippa, Gianluca
31 Lahti, Panu
30 Bellettini, Giovanni
30 De Philippis, Guido
29 De Lellis, Camillo
28 Shanmugalingam, Nageswari
27 Giacomini, Alessandro
26 Bogachev, Vladimir Igorevich
25 Fuchs, Martin
24 Dal Maso, Gianni
24 Peletier, Mark Adriaan
24 Röckner, Michael
23 Cannarsa, Piermarco
23 Leoni, Giovanni
22 Mielke, Alexander
22 Ponsiglione, Marcello
22 Pratelli, Aldo
22 Sturm, Karl-Theodor
21 Bianchini, Stefano
21 Bucur, Dorin
21 Focardi, Matteo
21 Morini, Massimiliano
20 Carlier, Guillaume
20 Maggi, Francesco
20 Magnani, Valentino
20 Rossi, Riccarda
19 Bildhauer, Michael
19 Cardaliaguet, Pierre
19 Dipierro, Serena
19 Leonardi, Gian Paolo
19 Miranda, Michele jun.
19 Wei, Juncheng
19 Wick, Thomas
18 Friedrich, Manuel
18 Gangbo, Wilfrid
18 Marigonda, Antonio
18 Pallara, Diego
18 Pinamonti, Andrea
18 Serfaty, Sylvia
18 Sire, Yannick
17 Buttazzo, Giuseppe
17 Farina, Alberto
17 Francfort, Gilles A.
17 McCann, Robert J.
17 Mondino, Andrea
17 Orlandi, Giandomenico
17 Rindler, Filip
17 Rossi, Julio Daniel
17 Schönlieb, Carola-Bibiane
17 Solombrino, Francesco
17 Stefanelli, Ulisse
16 Balogh, Zoltán M.
16 Da Prato, Giuseppe
16 Honda, Shouhei
16 Jabin, Pierre-Emmanuel
16 Luo, Dejun
16 Wirth, Benedikt
15 Cavalletti, Fabio
15 Colombo, Maria
15 Crismale, Vito
15 Flandoli, Franco
15 Garroni, Adriana
15 Goldman, Michael
15 Mucci, Domenico
15 Pasqualetto, Enrico
15 Rajala, Tapio
15 Vittone, Davide
15 Wenger, Stefan
14 Alberti, Giovanni
14 Andreu, Fuensanta
14 Babadjian, Jean-François
14 Bouchitté, Guy
14 Bruè, Elia
14 Cianchi, Andrea
14 Crasta, Graziano
14 De Cicco, Virginia
14 Fragalà, Ilaria
14 Hynd, Ryan
14 Ignat, Radu
14 Kružík, Martin
14 Masnou, Simon
14 Ohta, Shin-ichi
14 Omari, Pierpaolo
14 Segura de León, Sergio
14 Shaposhnikov, Stanislav V.
...and 4,306 more Authors
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Cited in 469 Serials

344 Calculus of Variations and Partial Differential Equations
246 Archive for Rational Mechanics and Analysis
171 Journal of Functional Analysis
165 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
144 Journal of Differential Equations
140 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
121 Journal of Mathematical Analysis and Applications
120 Journal de Mathématiques Pures et Appliquées. Neuvième Série
112 SIAM Journal on Mathematical Analysis
96 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
89 Computer Methods in Applied Mechanics and Engineering
79 The Journal of Geometric Analysis
73 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
72 Transactions of the American Mathematical Society
72 Communications in Partial Differential Equations
70 Journal of Mathematical Imaging and Vision
67 Discrete and Continuous Dynamical Systems
59 Proceedings of the American Mathematical Society
57 Annali di Matematica Pura ed Applicata. Serie Quarta
55 Advances in Mathematics
51 Comptes Rendus. Mathématique. Académie des Sciences, Paris
44 Journal of the European Mathematical Society (JEMS)
43 NoDEA. Nonlinear Differential Equations and Applications
42 Advances in Calculus of Variations
40 SIAM Journal on Imaging Sciences
39 Communications in Mathematical Physics
39 Journal of Computational Physics
39 Journal of Mathematical Sciences (New York)
39 Analysis and Geometry in Metric Spaces
37 Manuscripta Mathematica
36 Applied Mathematics and Optimization
36 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
35 Mathematische Annalen
34 Communications on Pure and Applied Mathematics
31 Mathematische Zeitschrift
31 Revista Matemática Iberoamericana
31 Potential Analysis
29 Inventiones Mathematicae
29 Journal of Nonlinear Science
29 Discrete and Continuous Dynamical Systems. Series S
28 Communications in Contemporary Mathematics
27 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
25 Journal für die Reine und Angewandte Mathematik
25 SIAM Journal on Control and Optimization
24 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
23 Rendiconti del Seminario Matematico della Università di Padova
22 Journal of the Mechanics and Physics of Solids
22 Journal of Elasticity
22 Inverse Problems and Imaging
21 Probability Theory and Related Fields
21 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
21 Geometric and Functional Analysis. GAFA
21 Journal of Convex Analysis
21 Journal of Evolution Equations
20 Journal of Statistical Physics
20 Stochastic Processes and their Applications
19 Computational Mechanics
19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
19 Interfaces and Free Boundaries
18 Journal d’Analyse Mathématique
18 Journal of Optimization Theory and Applications
18 Numerische Mathematik
18 Journal of Scientific Computing
17 Nonlinearity
17 Duke Mathematical Journal
17 Physica D
17 Electronic Journal of Probability
16 The Annals of Probability
16 The Annals of Applied Probability
16 International Journal of Computer Vision
16 Foundations of Computational Mathematics
16 Communications on Pure and Applied Analysis
16 Milan Journal of Mathematics
15 Inverse Problems
15 Journal of Mathematical Physics
15 Memoirs of the American Mathematical Society
15 Acta Applicandae Mathematicae
15 SIAM Journal on Applied Mathematics
15 Bulletin des Sciences Mathématiques
15 Nonlinear Analysis. Real World Applications
14 International Journal for Numerical Methods in Engineering
14 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
14 SIAM Journal on Scientific Computing
14 Annales Academiae Scientiarum Fennicae. Mathematica
14 Networks and Heterogeneous Media
13 Mathematics of Computation
13 Quarterly of Applied Mathematics
13 SIAM Journal on Numerical Analysis
13 European Journal of Applied Mathematics
13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
13 Kinetic and Related Models
13 Séminaire Laurent Schwartz. EDP et Applications
12 Indiana University Mathematics Journal
12 Journal of Dynamics and Differential Equations
12 Continuum Mechanics and Thermodynamics
12 Advanced Nonlinear Studies
12 Journal of Fixed Point Theory and Applications
12 Science China. Mathematics
11 Mathematical Methods in the Applied Sciences
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
...and 369 more Serials
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Cited in 58 Fields

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1,986 Calculus of variations and optimal control; optimization (49-XX)
645 Differential geometry (53-XX)
622 Mechanics of deformable solids (74-XX)
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429 Real functions (26-XX)
396 Measure and integration (28-XX)
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360 Global analysis, analysis on manifolds (58-XX)
292 Fluid mechanics (76-XX)
276 Statistical mechanics, structure of matter (82-XX)
250 Information and communication theory, circuits (94-XX)
249 Operator theory (47-XX)
211 Computer science (68-XX)
173 Biology and other natural sciences (92-XX)
158 Functions of a complex variable (30-XX)
156 Operations research, mathematical programming (90-XX)
149 Ordinary differential equations (34-XX)
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105 Potential theory (31-XX)
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104 Convex and discrete geometry (52-XX)
103 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
100 Systems theory; control (93-XX)
72 General topology (54-XX)
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62 Integral equations (45-XX)
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49 Geometry (51-XX)
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30 Combinatorics (05-XX)
30 Abstract harmonic analysis (43-XX)
28 Optics, electromagnetic theory (78-XX)
27 Classical thermodynamics, heat transfer (80-XX)
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23 Difference and functional equations (39-XX)
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19 Linear and multilinear algebra; matrix theory (15-XX)
16 Group theory and generalizations (20-XX)
15 Relativity and gravitational theory (83-XX)
12 Algebraic topology (55-XX)
9 General and overarching topics; collections (00-XX)
9 Number theory (11-XX)
7 Algebraic geometry (14-XX)
6 History and biography (01-XX)
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1 Nonassociative rings and algebras (17-XX)
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