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Buttazzo, Giuseppe

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Author ID: buttazzo.giuseppe Recent zbMATH articles by "Buttazzo, Giuseppe"
Published as: Buttao, Giuseppe; Buttazzo, G.; Buttazzo, Giuseppe; Buttazzo, Giusseppe; Buttazzo, Guiseppe
Homepage: http://www.dm.unipi.it/pages/buttazzo/
External Links: MGP · Wikidata · ResearchGate · dblp · GND
Documents Indexed: 197 Publications since 1977, including 17 Books
Reviewing Activity: 197 Reviews
all top 5

Co-Authors

21 single-authored
16 Bouchitté, Guy
16 Bucur, Dorin
16 Dal Maso, Gianni
13 Velichkov, Bozhidar
11 Acerbi, Emilio
10 Stepanov, Eugene
9 Santambrogio, Filippo
8 Ambrosio, Luigi
7 De Pascale, Luigi
7 Fragalà, Ilaria
5 Alberti, Giovanni
5 Carlier, Guillaume
4 Faina, Loris
4 Freddi, Lorenzo
4 Guarino Lo Bianco, Serena
4 Oudet, Edouard
4 Percivale, Danilo
4 Varchon, Nicolas
3 Attouch, Hedy
3 Brancolini, Alessio
3 Henrot, Antoine
3 Kawohl, Bernd
3 Leaci, Antonio
3 Maestre, Faustino
3 Nazarov, Sergeĭ Aleksandrovich
2 Alfonso, Juan Carlos López
2 Belloni, Marino
2 Braides, Andrea
2 Brasco, Lorenzo
2 Cardone, Giuseppe
2 Champion, Thierry
2 De Giorgi, Ennio
2 Fonseca, Irene
2 Frediani, Aldo
2 Fusco, Nicola
2 García-Archilla, Bosco
2 Herrero, Miguel Ángel
2 Marino, Antonio
2 Michaille, Gérard
2 Mizel, Victor J.
2 Mosco, Umberto
2 Murthy, M. K. Venkatesha
2 Nuñez, Luis
2 Pratelli, Aldo
2 Ruffini, Berardo
2 Seppecher, Pierre
2 Tomarelli, Franco
2 Trebeschi, Paola
2 Wagner, Alfred
1 Adly, Samir
1 Anzellotti, Gabriele
1 Ascenzi, Oscar
1 Azé, Dominique
1 Baiocchi, Claudio
1 Barroso, Ana Cristina
1 Belhachmi, Zakaria
1 Bellido, José Carlos
1 Boccardo, Lucio
1 Brenier, Yann
1 Caffarelli, Luis Ángel
1 Casado-Díaz, Juan
1 Cavazzuti, Ennio
1 Chen, Alex W. J.
1 Comte, Myriam
1 Dacorogna, Bernard
1 Darbon, Jerome
1 Davini, Fabricio
1 de Figueiredo, Isabel Maria Narra
1 Ferone, Vincenzo
1 Galdi, Giovanni Paolo
1 Gangbo, Wilfrid
1 Garroni, Adriana
1 Gastaldi, Fabio
1 Gerolin, Augusto
1 Giaquinta, Mariano
1 Guasoni, Paolo
1 Hildebrandt, Stefan
1 Jimenez, Chloé
1 Kogut, Peter I.
1 Laborde, Maxime
1 Lux, Anne
1 Macià, Fabricio
1 Mainini, Edoardo
1 Malusa, Annalisa
1 Marini, Michele
1 Mintchev, Mihail
1 Morel, Jean-Michel
1 Nayam, Al-hassem
1 Nitsch, Carlo
1 Oliviero, Fabrizio
1 Percivalle, Danilo
1 Prinari, Francesca
1 Rieger, Marc Oliver
1 Sac-Epee, Jean-Marc
1 Salsa, Sandro
1 Schweizer, Ben
1 Solimini, Sergio
1 Stefanelli, Ulisse
1 Suquet, Pierre-Marie
1 Tahraoui, Rabah
...and 9 more Co-Authors
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Serials

8 Journal of Convex Analysis
6 Journal of Functional Analysis
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
6 SIAM Journal on Mathematical Analysis
6 Discrete and Continuous Dynamical Systems
5 Archive for Rational Mechanics and Analysis
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Calculus of Variations and Partial Differential Equations
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Advances in Mathematical Sciences and Applications
4 Nonlinear Analysis. Theory, Methods & Applications
3 Journal of Mathematical Analysis and Applications
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Optimization Theory and Applications
3 Journal für die Reine und Angewandte Mathematik
3 SIAM Journal on Control and Optimization
2 Journal d’Analyse Mathématique
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Optimization
2 Manuscripta Mathematica
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Portugaliae Mathematica
2 Ricerche di Matematica
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Asymptotic Analysis
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Bollettino della Unione Matemàtica Italiana. Serie VII. B
2 SIAM Journal on Optimization
2 Revista Matemática Complutense
2 Interfaces and Free Boundaries
2 Journal of the European Mathematical Society (JEMS)
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Lecture Notes in Mathematics
2 Networks and Heterogeneous Media
2 Advances in Calculus of Variations
2 Springer Optimization and Its Applications
1 Bulletin of Mathematical Biology
1 The Mathematical Intelligencer
1 Advances in Mathematics
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 Control and Cybernetics
1 Indiana University Mathematics Journal
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Differential and Integral Equations
1 IMRN. International Mathematics Research Notices
1 The Journal of Geometric Analysis
1 Atti del Seminario Matematico e Fisico dell’Università di Modena
1 Journal of Elasticity
1 SIAM Review
1 Bulletin of the American Mathematical Society. New Series
1 Notices of the American Mathematical Society
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Mathematical Sciences (New York)
1 Communications in Applied Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Discrete and Continuous Dynamical Systems. Series B
1 Milan Journal of Mathematics
1 Rivista di Matematica della Università di Parma. Serie 7
1 Oberwolfach Reports
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Bollettino della Unione Matematica Italiana. Series V. B
1 Oxford Lecture Series in Mathematics and its Applications
1 Series on Advances in Mathematics for Applied Sciences
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 International Journal of Dynamical Systems and Differential Equations
1 MPS/SIAM Series on Optimization
1 MOS/SIAM Series on Optimization
1 Journal de l’École Polytechnique – Mathématiques
1 Progress in Nonlinear Differential Equations and Their Applications
1 Appunti dei Corsi Tenuti da Docenti della Scuola

Publications by Year

Citations contained in zbMATH Open

153 Publications have been cited 2,306 times in 1,640 Documents Cited by Year
Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. Zbl 1095.49001
Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard
183
2006
Semicontinuity, relaxation and integral representation in the calculus of variations. Zbl 0669.49005
Buttazzo, Giuseppe
153
1989
Variational methods in shape optimization problems. Zbl 1117.49001
Bucur, Dorin; Buttazzo, Giuseppe
140
2005
One-dimensional variational problems. An introduction. Zbl 0915.49001
Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan
107
1998
General existence theorems for unilateral problems in continuum mechanics. Zbl 0646.73011
Baiocchi, Claudio; Buttazzo, Giuseppe; Gastaldi, Fabio; Tomarelli, Franco
74
1988
Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. 2nd revised ed. Zbl 1311.49001
Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard
68
2014
An optimal design problem with perimeter penalization. Zbl 0794.49040
Ambrosio, Luigi; Buttazzo, Giuseppe
67
1993
A variational definition of the strain energy for an elastic string. Zbl 0734.73094
Acerbi, Emilio; Buttazzo, Giuseppe; Percivale, Danilo
66
1991
An existence result for a class of shape optimization problems. Zbl 0811.49028
Buttazzo, Giuseppe; Dal Maso, Gianni
57
1993
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.; Salsa, S. (ed.); Villani, Cédric
53
2003
Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions. Zbl 0762.49017
Buttazzo, Giuseppe; Dal Maso, Gianni
53
1991
Characterization of optimal shapes and masses through Monge-Kantorovich equation. Zbl 0982.49025
Bouchitté, Guy; Buttazzo, Guiseppe
50
2001
\(\Gamma\)-limits of integral functionals. Zbl 0446.49012
Buttazzo, Giuseppe; Dal Maso, Gianni
42
1980
Energies with respect to a measure and applications to low dimensional structures. Zbl 0934.49011
Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre
41
1997
Gamma-convergence and optimal control problems. Zbl 0471.49012
Buttazzo, G.; Dal Maso, G.
39
1982
Shape optimization solutions via Monge-Kantorovich equation. Zbl 0884.49023
Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre
37
1997
Minimum problems over sets of concave functions and related questions. Zbl 0835.49001
Buttazzo, Giuseppe; Ferone, Vincenzo; Kawohl, Bernhard
36
1995
Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. Zbl 0689.49025
Ambrosio, Luigi; Ascenzi, Oscar; Buttazzo, Giuseppe
35
1989
Existence results for some optimal partition problems. Zbl 0915.49006
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
30
1998
New lower semicontinuity results for nonconvex functionals defined on measures. Zbl 0736.49007
Bouchitté, Guy; Buttazzo, Giuseppe
29
1990
On the lower semicontinuity of certain integral functionals. Zbl 0554.49006
De Giorgi, Ennio; Buttazzo, Giuseppe; Dal Maso, Gianni
28
1983
Optimal transportation problems with free Dirichlet regions. Zbl 1055.49029
Buttazzo, Giuseppe; Oudet, Edouard; Stepanov, Eugene
27
2002
Path functionals over Wasserstein spaces. Zbl 1130.49036
Brancolini, A.; Buttazzo, G.; Santambrogio, F.
22
2006
Optimal transportation networks as free Dirichlet for the Monge-Kantorovich problem. Zbl 1127.49031
Buttazzo, Giuseppe; Stepanov, Eugene
21
2003
Relaxation results for some free discontinuity problems. Zbl 0817.49015
Bouchitté, Guy; Braides, Andrea; Buttazzo, Giuseppe
21
1995
On Newton’s problem of minimal resistance. Zbl 0800.49038
Buttazzo, Giuseppe; Kawohl, Bernhard
21
1993
Integral representation and relaxation of local functionals. Zbl 0527.49008
Buttazzo, Giuseppe; Dal Maso, G.
21
1985
A survey on old and recent results about the gap phenomenon in the calculus of variations. Zbl 0852.49001
Buttazzo, G.; Belloni, M.
20
1995
Reinforcement problems in the calculus of variations. Zbl 0607.73018
Acerbi, Emilio; Buttazzo, Giuseppe
20
1986
Overdetermined boundary value problems for the \(\infty \)-Laplacian. Zbl 1219.35145
Buttazzo, Giuseppe; Kawohl, Bernd
18
2011
An optimization problem for mass transportation with congested dynamics. Zbl 1282.49035
Buttazzo, G.; Jimenez, C.; Oudet, E.
17
2009
Optimal urban networks via mass transportation. Zbl 1190.90003
Buttazzo, Giuseppe; Pratelli, Aldo; Solimini, Sergio; Stepanov, Eugene
17
2009
A \(p\)-Laplacian approximation for some mass optimization problems. Zbl 1040.49040
Bouchitté, G.; Buttazzo, G.; De Pascale, L.
16
2003
Interpretation of the Lavrentiev phenomenon by relaxation. Zbl 0784.49006
Buttazzo, Giuseppe; Mizel, Victor J.
16
1992
Thin inclusions in linear elasticity: A variational approach. Zbl 0633.73021
Acerbi, E.; Buttazzo, G.; Percivale, D.
16
1988
On the approximation of the elastic bounce problem on Riemannian manifolds. Zbl 0498.58011
Buttazzo, Giuseppe; Percivale, Danilo
16
1983
Spectral optimization problems. Zbl 1226.49038
Buttazzo, Giuseppe
15
2011
Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
15
2009
Su una definizione generale dei \(\Gamma\)-limiti. Zbl 0445.49016
Buttazzo, Giuseppe
15
1977
Weak optimal controls in coefficients for linear elliptic problems. Zbl 1210.35129
Buttazzo, Giuseppe; Kogut, Peter I.
14
2011
A model for the optimal planning of an urban area. Zbl 1109.49027
Buttazzo, Giuseppe; Santambrogio, Filippo
14
2005
Integral representation of nonconvex functionals defined on measures. Zbl 0757.49012
Bouchitté, G.; Buttazzo, G.
14
1992
Compatibility conditions for nonlinear Neumann problems. Zbl 0746.49012
Buttazzo, Giuseppe; Tomarelli, Franco
14
1991
On the selection of maximal Cheeger sets. Zbl 1212.49019
Buttazzo, Giuseppe; Carlier, Guillaume; Comte, Myriam
13
2007
Shape optimization problems over classes of convex domains. Zbl 0921.49030
Buttazzo, Giuseppe; Guasoni, Paolo
12
1997
Functionals defined on measures and applications to non equi-uniformly elliptic problems. Zbl 0767.35010
Buttazzo, Giuseppe; Freddi, Lorenzo
12
1991
Weak lower semicontinuous envelope of functionals defined on a space of measures. Zbl 0648.49009
Ambrosio, Luigi; Buttazzo, Giuseppe
12
1988
A derivation theorem for capacities with respect to a Radon measure. Zbl 0622.28006
Buttazzo, Giuseppe; Dal Maso, Gianni; Mosco, Umberto
12
1987
Sull’approssimazione del problema del rimbalzo unidimensionale. Zbl 0508.73024
Buttazzo, Giuseppe; Percivale, Danilo
12
1981
Asymptotical compliance optimization for connected networks. Zbl 1223.49017
Buttazzo, Giuseppe; Santambrogio, Filippo
11
2007
Some relaxation problems in optimal control theory. Zbl 0633.49007
Buttazzo, Giuseppe
11
1987
Semicontinuity and relaxation for integrals depending on vector valued functions. Zbl 0481.49013
Acerbi, Emilio; Buttazzo, Giuseppe; Fusco, Nicola
11
1983
Relaxation for a class of nonconvex functionals defined on measures. Zbl 0791.49016
Bouchitté, Guy; Buttazzo, Giuseppe
10
1993
Continuity and estimates for multimarginal optimal transportation problems with singular costs. Zbl 1400.49051
Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi
9
2018
Spectral optimization problems for potentials and measures. Zbl 1301.49122
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
9
2014
A Benamou-Brenier approach to branched transport. Zbl 1223.49047
Brasco, L.; Buttazzo, G.; Santambrogio, F.
9
2011
The class of functionals which can be represented by a supremum. Zbl 1012.49010
Acerbi, Emilio; Buttazzo, Giuseppe; Prinari, Francesca
9
2002
Convergence of Sobolev spaces on varying manifolds. Zbl 1055.49009
Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria
9
2001
On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099
Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel
9
1999
Shape optimization for Dirichlet problems: Relaxed solutions and optimality conditions. Zbl 0718.49017
Buttazzo, Giuseppe; Dal Maso, Gianni
9
1990
Asymptotic behaviour for Dirichlet problems in domains bounded by thin layers. Zbl 0699.35062
Buttazzo, Giuseppe; Dal Maso, Gianni; Mosco, Umberto
9
1989
Dirichlet problem for demi-coercive functionals. Zbl 0612.49008
Anzellotti, G.; Buttazzo, G.; Dal Maso, G.
9
1986
On the limits of periodic Riemannian metrics. Zbl 0564.49025
Acerbi, Emilio; Buttao, Giuseppe
9
1984
Optimal potentials for Schrödinger operators. Zbl 1306.49018
Buttazzo, Giuseppe; Gerolin, Augusto; Ruffini, Berardo; Velichkov, Bozhidar
8
2014
Mean curvature of a measure and related variational problems. Zbl 1015.49015
Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria
8
1997
Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity. Zbl 1329.49095
van den Berg, Michiel; Buttazzo, Giuseppe; Velichkov, Bozhidar
7
2015
On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023
Bucur, Dorin; Buttazzo, Giuseppe
7
2012
Stationary configurations for the average distance functional and related problems. Zbl 1239.49029
Buttazzo, Giuseppe; Mainini, Edoardo; Stepanov, Eugene
7
2009
A mass transportation model for the optimal planning of an urban region. Zbl 1170.49013
Buttazzo, Giuseppe; Santambrogio, Filippo
7
2009
Asymptotics of an optimal compliance-location problem. Zbl 1114.49016
Buttazzo, Giuseppe; Santambrogio, Filippo; Varchon, Nicolas
7
2006
On the optimal reinforcement of an elastic membrane. Zbl 1092.49027
Buttazzo, Giuseppe; Varchon, Nicolas
7
2005
Optimal networks for mass transportation problems. Zbl 1103.49002
Brancolini, Alessio; Buttazzo, Giuseppe
7
2005
Minimization problems for average distance functionals. Zbl 1089.49040
Buttazzo, Giuseppe; Stepanov, Eugene
7
2004
Relaxation of bulk and interfacial energies. Zbl 0876.49037
Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene
7
1996
Homogenization of reinforced periodic one-codimensional structures. Zbl 0654.73017
Attouch, H.; Buttazzo, G.
7
1987
Limit problems for plates surrounded by soft material. Zbl 0624.73021
Acerbi, Emilio; Buttazzo, Giuseppe
7
1986
Optimal control problems in transport dynamics. Zbl 1365.49004
Bongini, Mattia; Buttazzo, Giuseppe
6
2017
Spectral optimization problems with internal constraint. Zbl 1287.49049
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
6
2013
Variational methods in some shape optimization problems. Zbl 1066.49026
Bucur, Dorin; Buttazzo, Giuseppe
6
2002
Riemannian approximation of Finsler metrics. Zbl 1032.49020
Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria
6
2002
Topological equivalence of some variational problems involving distances. Zbl 1025.49013
Buttazzo, Giuseppe; De Pascale, Luigi; Fragalà, Ilaria
6
2001
On the envelopes of functions depending on singular values of matrices. Zbl 0803.49014
Buttazzo, G.; Dacorogna, B.; Gangbo, W.
6
1994
Integral representation and relaxation for functionals defined on measures. Zbl 0713.49018
De Giorgi, Ennio; Ambrosio, Luigi; Buttazzo, Giuseppe
6
1987
A characterization of nonlinear functionals on Sobolev spaces which admit an integral representation with a Carathéodory integrand. Zbl 0582.46038
Buttazzo, Giuseppe; Dal Maso, Gianni
6
1985
Sharp estimates for the anisotropic torsional rigidity and the principal frequency. Zbl 06790531
Buttazzo, Giuseppe; Guarino Lo Bianco, Serena; Marini, Michele
5
2018
Thin elastic plates supported over small areas. II: Variational-asymptotic models. Zbl 06843152
Buttazzo, Giuseppe; Cardone, Giuseppe; Nazarov, Sergei A.
5
2017
Worst-case shape optimization for the Dirichlet energy. Zbl 1358.49013
Bellido, José Carlos; Buttazzo, Giuseppe; Velichkov, Bozhidar
5
2017
Thin elastic plates supported over small areas. I: Korn’s inequalities and boundary layers. Zbl 1349.74234
Buttazzo, G.; Cardone, G.; Nazarov, S. A.
5
2016
Optimal spatial pricing strategies with transportation costs. Zbl 1235.49083
Buttazzo, G.; Carlier, G.
5
2010
A survey on the Newton problem of optimal profiles. Zbl 1182.49041
Buttazzo, Giuseppe
5
2009
Long-term planning versus short-term planning in the asymptotical location problem. Zbl 1169.90386
Brancolini, Alessio; Buttazzo, Giuseppe; Santambrogio, Filippo; Stepanov, Eugene
5
2009
Optimal pricing policies for public transportation networks. Zbl 1093.49030
Buttazzo, Giuseppe; Pratelli, Aldo; Stepanov, Eugene
5
2006
On the relaxed formulation of some shape optimization problems. Zbl 0971.49024
Buttazzo, G.; Dal Maso, G.; Garroni, A.; Malusa, A.
5
1997
Optimal control problems with weakly converging input operators. Zbl 0886.49015
Buttazzo, Giuseppe; Freddi, Lorenzo
5
1995
The spectral drop problem. Zbl 1350.49061
Buttazzo, Giuseppe; Velichkov, Bozhidar
4
2016
An optimization problem for the biharmonic equation with Sobolev conditions. Zbl 1290.35070
Buttazzo, G.; Nazarov, S. A.
4
2011
The Monge-Kantorovich problem for distributions and applications. Zbl 1207.49014
Bouchitté, G.; Buttazzo, G.; De Pascale, L.
4
2010
Quasistatic evolution in debonding problems via capacitary methods. Zbl 1155.74030
Bucur, Dorin; Buttazzo, Giuseppe; Lux, Anne
4
2008
Optimal measures for elliptic problems. Zbl 1232.49049
Buttazzo, Giuseppe; Varchon, Nicolas; Zoubairi, Hakima
4
2006
Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032
Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc
4
2006
Optimal reinforcing networks for elastic membranes. Zbl 1426.49012
Alberti, Giovanni; Buttazzo, Giuseppe; Bianco, Serena Guarino Lo; Oudet, Édouard
2
2019
Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation. Zbl 1422.65358
Bartels, Sören; Buttazzo, Giuseppe
1
2019
Continuity and estimates for multimarginal optimal transportation problems with singular costs. Zbl 1400.49051
Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi
9
2018
Sharp estimates for the anisotropic torsional rigidity and the principal frequency. Zbl 06790531
Buttazzo, Giuseppe; Guarino Lo Bianco, Serena; Marini, Michele
5
2018
A shape optimal control problem with changing sign data. Zbl 1391.49079
Buttazzo, Giuseppe; Velichkov, Bozhidar
3
2018
Optimal potentials for problems with changing sign data. Zbl 1409.49007
Buttazzo, Giuseppe; Maestre, Faustino; Velichkov, Bozhidar
1
2018
Optimal control problems in transport dynamics. Zbl 1365.49004
Bongini, Mattia; Buttazzo, Giuseppe
6
2017
Thin elastic plates supported over small areas. II: Variational-asymptotic models. Zbl 06843152
Buttazzo, Giuseppe; Cardone, Giuseppe; Nazarov, Sergei A.
5
2017
Worst-case shape optimization for the Dirichlet energy. Zbl 1358.49013
Bellido, José Carlos; Buttazzo, Giuseppe; Velichkov, Bozhidar
5
2017
Optimal design problems for Schrödinger operators with noncompact resolvents. Zbl 1358.49014
Bouchitté, Guy; Buttazzo, Giuseppe
1
2017
Thin elastic plates supported over small areas. I: Korn’s inequalities and boundary layers. Zbl 1349.74234
Buttazzo, G.; Cardone, G.; Nazarov, S. A.
5
2016
The spectral drop problem. Zbl 1350.49061
Buttazzo, Giuseppe; Velichkov, Bozhidar
4
2016
Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity. Zbl 1329.49095
van den Berg, Michiel; Buttazzo, Giuseppe; Velichkov, Bozhidar
7
2015
A free boundary problem arising in PDE optimization. Zbl 1342.49004
Buttazzo, Giuseppe; Oudet, Edouard; Velichkov, Bozhidar
2
2015
Optimal regions for congested transport. Zbl 1330.49047
Buttazzo, Giuseppe; Carlier, Guillaume; Lo Bianco, Serena Guarino
2
2015
Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. 2nd revised ed. Zbl 1311.49001
Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard
68
2014
Spectral optimization problems for potentials and measures. Zbl 1301.49122
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
9
2014
Optimal potentials for Schrödinger operators. Zbl 1306.49018
Buttazzo, Giuseppe; Gerolin, Augusto; Ruffini, Berardo; Velichkov, Bozhidar
8
2014
Selecting radiotherapy dose distributions by means of constrained optimization problems. Zbl 1297.92038
Alfonso, J. C. L.; Buttazzo, G.; García-Archilla, B.; Herrero, M. A.; Núñez, L.
3
2014
Shape optimization problems for metric graphs. Zbl 1286.49050
Buttazzo, Giuseppe; Ruffini, Berardo; Velichkov, Bozhidar
3
2014
Optimal location problems with routing cost. Zbl 1275.49076
Buttazzo, Giuseppe; Guarino Lo Bianco, Serena; Oliviero, Fabrizio
1
2014
Spectral optimization problems with internal constraint. Zbl 1287.49049
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar
6
2013
Asymptotic optimal location of facilities in a competition between population and industries. Zbl 1264.49047
Buttazzo, Giuseppe; Santambrogio, Filippo; Stepanov, Eugene
2
2013
Shape optimization problems on metric measure spaces. Zbl 1255.49073
Buttazzo, Giuseppe; Velichkov, Bozhidar
2
2013
On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023
Bucur, Dorin; Buttazzo, Giuseppe
7
2012
A class of optimization problems in radiotherapy dosimetry planning. Zbl 1398.92121
López Alfonso, Juan Carlos; Buttazzo, Giuseppe; García-Archilla, Bosco; Herrero, Miguel A.; Núñez, Luis
3
2012
Evolution models for mass transportation problems. Zbl 1255.49076
Buttazzo, Giuseppe
1
2012
Overdetermined boundary value problems for the \(\infty \)-Laplacian. Zbl 1219.35145
Buttazzo, Giuseppe; Kawohl, Bernd
18
2011
Spectral optimization problems. Zbl 1226.49038
Buttazzo, Giuseppe
15
2011
Weak optimal controls in coefficients for linear elliptic problems. Zbl 1210.35129
Buttazzo, Giuseppe; Kogut, Peter I.
14
2011
A Benamou-Brenier approach to branched transport. Zbl 1223.49047
Brasco, L.; Buttazzo, G.; Santambrogio, F.
9
2011
An optimization problem for the biharmonic equation with Sobolev conditions. Zbl 1290.35070
Buttazzo, G.; Nazarov, S. A.
4
2011
Optimal shape for elliptic problems with random perturbations. Zbl 1246.49035
Buttazzo, Giuseppe; Maestre, Faustino
1
2011
Optimal spatial pricing strategies with transportation costs. Zbl 1235.49083
Buttazzo, G.; Carlier, G.
5
2010
The Monge-Kantorovich problem for distributions and applications. Zbl 1207.49014
Bouchitté, G.; Buttazzo, G.; De Pascale, L.
4
2010
On some rescaled shape optimization problems. Zbl 1189.49064
Buttazzo, G.; Wagner, A.
1
2010
An optimization problem for mass transportation with congested dynamics. Zbl 1282.49035
Buttazzo, G.; Jimenez, C.; Oudet, E.
17
2009
Optimal urban networks via mass transportation. Zbl 1190.90003
Buttazzo, Giuseppe; Pratelli, Aldo; Solimini, Sergio; Stepanov, Eugene
17
2009
Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
15
2009
Stationary configurations for the average distance functional and related problems. Zbl 1239.49029
Buttazzo, Giuseppe; Mainini, Edoardo; Stepanov, Eugene
7
2009
A mass transportation model for the optimal planning of an urban region. Zbl 1170.49013
Buttazzo, Giuseppe; Santambrogio, Filippo
7
2009
A survey on the Newton problem of optimal profiles. Zbl 1182.49041
Buttazzo, Giuseppe
5
2009
Long-term planning versus short-term planning in the asymptotical location problem. Zbl 1169.90386
Brancolini, Alessio; Buttazzo, Giuseppe; Santambrogio, Filippo; Stepanov, Eugene
5
2009
Variational analysis and aerospace engineering. Proceedings of the Erice workshop, Erice, Italy, September 8–16, 2007. Zbl 1173.49001
Buttazzo, Giuseppe (ed.); Frediani, Aldo (ed.)
1
2009
Quasistatic evolution in debonding problems via capacitary methods. Zbl 1155.74030
Bucur, Dorin; Buttazzo, Giuseppe; Lux, Anne
4
2008
On the selection of maximal Cheeger sets. Zbl 1212.49019
Buttazzo, Giuseppe; Carlier, Guillaume; Comte, Myriam
13
2007
Asymptotical compliance optimization for connected networks. Zbl 1223.49017
Buttazzo, Giuseppe; Santambrogio, Filippo
11
2007
Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004
Bucur, Dorin (ed.); Buttazzo, Giuseppe (ed.); Henrot, Antoine (ed.)
3
2007
Erratum to: “Topological equivalence of some variational problems involving distances”. Zbl 1330.49009
Buttazzo, Giuseppe; De Pascale, Luigi; Fragalà, Ilaria
1
2007
Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. Zbl 1095.49001
Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard
183
2006
Path functionals over Wasserstein spaces. Zbl 1130.49036
Brancolini, A.; Buttazzo, G.; Santambrogio, F.
22
2006
Asymptotics of an optimal compliance-location problem. Zbl 1114.49016
Buttazzo, Giuseppe; Santambrogio, Filippo; Varchon, Nicolas
7
2006
Optimal pricing policies for public transportation networks. Zbl 1093.49030
Buttazzo, Giuseppe; Pratelli, Aldo; Stepanov, Eugene
5
2006
Optimal measures for elliptic problems. Zbl 1232.49049
Buttazzo, Giuseppe; Varchon, Nicolas; Zoubairi, Hakima
4
2006
Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032
Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc
4
2006
Variational problems for functionals involving the value distribution. Zbl 1104.49008
Buttazzo, Giuseppe; Rieger, Marc Oliver
1
2006
Variational methods in shape optimization problems. Zbl 1117.49001
Bucur, Dorin; Buttazzo, Giuseppe
140
2005
A model for the optimal planning of an urban area. Zbl 1109.49027
Buttazzo, Giuseppe; Santambrogio, Filippo
14
2005
On the optimal reinforcement of an elastic membrane. Zbl 1092.49027
Buttazzo, Giuseppe; Varchon, Nicolas
7
2005
Optimal networks for mass transportation problems. Zbl 1103.49002
Brancolini, Alessio; Buttazzo, Giuseppe
7
2005
\(\Gamma\) convergence of Hausdorff measures. Zbl 1106.49022
Buttazzo, G.; Schweizer, B.
2
2005
Transport density in Monge-Kantorovich problems with Dirichlet conditions. Zbl 1094.49028
Buttazzo, Giuseppe; Stepanov, Eugene
2
2005
Minimization problems for average distance functionals. Zbl 1089.49040
Buttazzo, Giuseppe; Stepanov, Eugene
7
2004
Optimal Riemannian distances preventing mass transfer. Zbl 1077.49032
Buttazzo, Giuseppe; Davini, Fabricio; Fragalá, Ilaria; Maciá, Fabricio
2
2004
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.; Salsa, S. (ed.); Villani, Cédric
53
2003
Optimal transportation networks as free Dirichlet for the Monge-Kantorovich problem. Zbl 1127.49031
Buttazzo, Giuseppe; Stepanov, Eugene
21
2003
A \(p\)-Laplacian approximation for some mass optimization problems. Zbl 1040.49040
Bouchitté, G.; Buttazzo, G.; De Pascale, L.
16
2003
On regularity of transport density in the Monge–Kantorovich problem. Zbl 1084.49036
Buttazzo, Giuseppe; Stepanov, Eugene
4
2003
Optimal shapes and masses, and optimal transportation problems. Zbl 1087.49033
Buttazzo, Giuseppe; De Pascale, Luigi
3
2003
Optimal transportation problems with free Dirichlet regions. Zbl 1055.49029
Buttazzo, Giuseppe; Oudet, Edouard; Stepanov, Eugene
27
2002
The class of functionals which can be represented by a supremum. Zbl 1012.49010
Acerbi, Emilio; Buttazzo, Giuseppe; Prinari, Francesca
9
2002
Variational methods in some shape optimization problems. Zbl 1066.49026
Bucur, Dorin; Buttazzo, Giuseppe
6
2002
Riemannian approximation of Finsler metrics. Zbl 1032.49020
Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria
6
2002
On the relaxation of some optimal partition problems. Zbl 1063.49012
Buttazzo, Giuseppe; Timofte, Claudia
4
2002
On the problem of optimal cutting. Zbl 1028.49033
Bucur, Dorin; Buttazzo, Giuseppe; Varchon, Nicolas
4
2002
Bounds for the effective coefficients of homogenized low-dimensional structures. Zbl 1216.74016
Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria
1
2002
Characterization of optimal shapes and masses through Monge-Kantorovich equation. Zbl 0982.49025
Bouchitté, Guy; Buttazzo, Guiseppe
50
2001
Convergence of Sobolev spaces on varying manifolds. Zbl 1055.49009
Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria
9
2001
Topological equivalence of some variational problems involving distances. Zbl 1025.49013
Buttazzo, Giuseppe; De Pascale, Luigi; Fragalà, Ilaria
6
2001
On the optimal shape of a rigid body supported by an elastic membrane. Zbl 0941.49023
Buttazzo, Giuseppe; Wagner, Alfred
2
2000
On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099
Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel
9
1999
An existence result for optimal obstacles. Zbl 0920.49008
Bucur, Dorin; Buttazzo, Giuseppe; Trebeschi, Paola
3
1999
Relaxed optimal control problems and applications to shape optimization. (Notes taken by Lorenzo Freddi). Zbl 0988.49007
Buttazzo, Giuseppe
1
1999
One-dimensional variational problems. An introduction. Zbl 0915.49001
Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan
107
1998
Existence results for some optimal partition problems. Zbl 0915.49006
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
30
1998
Critical points for nonsmooth energy functions and applications. Zbl 0940.49019
Adly, Samir; Buttazzo, Giuseppe; Théra, Michel
2
1998
Energies with respect to a measure and applications to low dimensional structures. Zbl 0934.49011
Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre
41
1997
Shape optimization solutions via Monge-Kantorovich equation. Zbl 0884.49023
Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre
37
1997
Shape optimization problems over classes of convex domains. Zbl 0921.49030
Buttazzo, Giuseppe; Guasoni, Paolo
12
1997
Mean curvature of a measure and related variational problems. Zbl 1015.49015
Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria
8
1997
On the relaxed formulation of some shape optimization problems. Zbl 0971.49024
Buttazzo, G.; Dal Maso, G.; Garroni, A.; Malusa, A.
5
1997
Relaxation of bulk and interfacial energies. Zbl 0876.49037
Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene
7
1996
Lower semicontinuity problems in Sobolev spaces with respect to a measure. Zbl 0844.49012
Ambrosio, L.; Buttazzo, G.; Fonseca, I.
4
1996
Minimum problems over sets of concave functions and related questions. Zbl 0835.49001
Buttazzo, Giuseppe; Ferone, Vincenzo; Kawohl, Bernhard
36
1995
Relaxation results for some free discontinuity problems. Zbl 0817.49015
Bouchitté, Guy; Braides, Andrea; Buttazzo, Giuseppe
21
1995
A survey on old and recent results about the gap phenomenon in the calculus of variations. Zbl 0852.49001
Buttazzo, G.; Belloni, M.
20
1995
Optimal control problems with weakly converging input operators. Zbl 0886.49015
Buttazzo, Giuseppe; Freddi, Lorenzo
5
1995
Energies on BV and variational models in fracture mechanics. Zbl 0838.47019
Buttazzo, G.
2
1995
On a gap phenomenon for isoperimetrically constrained variational problems. Zbl 0838.49010
Buttazzo, Giuseppe; Mizel, Victor J.
2
1995
On the envelopes of functions depending on singular values of matrices. Zbl 0803.49014
Buttazzo, G.; Dacorogna, B.; Gangbo, W.
6
1994
...and 53 more Documents
all top 5

Cited by 1,786 Authors

69 Buttazzo, Giuseppe
28 Bucur, Dorin
28 Dal Maso, Gianni
26 Santambrogio, Filippo
24 Bouchitté, Guy
21 Fragalà, Ilaria
17 Velichkov, Bozhidar
16 Braides, Andrea
16 Kogut, Peter I.
15 Papageorgiou, Nikolaos S.
13 De Arcangelis, Riccardo
13 Percivale, Danilo
13 Zappale, Elvira
12 Attouch, Hedy
12 Crasta, Graziano
12 Fonseca, Irene
11 De Pascale, Luigi
11 Hintermüller, Michael
11 Nazarov, Sergeĭ Aleksandrovich
11 Tomarelli, Franco
10 Ambrosio, Luigi
10 Brancolini, Alessio
10 Brasco, Lorenzo
10 Chambolle, Antonin
10 Igbida, Noureddine
10 Maddalena, Francesco
10 Plakhov, A. Yu
10 Rossi, Julio Daniel
10 Stepanov, Eugene
10 Wirth, Benedikt
9 Briane, Marc
9 Casado-Díaz, Juan
9 Granieri, Luca
9 Mandallena, Jean-Philippe
9 Mariconda, Carlo
9 Pimenta, Marcos T. O.
9 Pratelli, Aldo
9 Terracini, Susanna
9 van den Berg, Michiel
9 Wachsmuth, Gerd
8 Goeleven, Daniel
8 Le, Vy Khoi
8 Malusa, Annalisa
8 Manzo, Rosanna
8 Mazzoleni, Dario
8 Michaille, Gérard
8 Mora, Maria Giovanna
8 Müller, Stefan
8 Murat, François
8 Sychev, Mikhail A.
8 Trombetti, Cristina
7 Amar, Micol
7 Auchmuty, Giles
7 Bergounioux, Maïtine
7 Carlier, Guillaume
7 Freddi, Lorenzo
7 Gaudiello, Antonio
7 Kupenko, Olha P.
7 Lamboley, Jimmy
7 Leugering, Günter
7 Marigonda, Antonio
7 Treu, Giulia
7 Yan, Jun
6 Antil, Harbir
6 Anza Hafsa, Omar
6 Bellettini, Giovanni
6 Bogoşel, Beniamin
6 Davini, Andrea
6 Del Piero, Gianpietro
6 Figalli, Alessio
6 Freitas, Pedro
6 Fusco, Nicola
6 Giacomini, Alessandro
6 Henrot, Antoine
6 Kouri, Drew P.
6 Lamberti, Pier Domenico
6 Lara, Felipe
6 Marcelli, Cristina
6 Nitsch, Carlo
6 Ornelas, António
6 Oudet, Edouard
6 Paroni, Roberto
6 Penot, Jean-Paul
6 Peyré, Gabriel
6 Privat, Yannick
6 Rautenberg, Carlos N.
6 Solombrino, Francesco
6 Trélat, Emmanuel
6 Warma, Mahamadi
6 Zhang, Shiqing
6 Zuazua, Enrique
6 Zucco, Davide
5 Capitanelli, Raffaela
5 Cardaliaguet, Pierre
5 Chadli, Ouayl
5 Cicalese, Marco
5 Clason, Christian
5 Conti, Sergio
5 Dacorogna, Bernard
5 De Cicco, Virginia
...and 1,686 more Authors
all top 5

Cited in 279 Serials

94 Calculus of Variations and Partial Differential Equations
73 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
58 Archive for Rational Mechanics and Analysis
58 Journal of Differential Equations
51 Journal of Mathematical Analysis and Applications
48 Journal de Mathématiques Pures et Appliquées. Neuvième Série
47 Journal of Optimization Theory and Applications
42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
37 Annali di Matematica Pura ed Applicata. Serie Quarta
35 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
30 Journal of Functional Analysis
26 Applied Mathematics and Optimization
26 Journal of Elasticity
25 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
25 SIAM Journal on Mathematical Analysis
24 Discrete and Continuous Dynamical Systems
21 Transactions of the American Mathematical Society
20 Nonlinear Analysis. Theory, Methods & Applications
19 Proceedings of the American Mathematical Society
17 Computer Methods in Applied Mechanics and Engineering
16 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
15 Applicable Analysis
15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
15 Set-Valued and Variational Analysis
14 SIAM Journal on Control and Optimization
14 Advances in Calculus of Variations
12 Numerische Mathematik
12 Rendiconti del Seminario Matematico della Università di Padova
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Optimization
11 Communications in Partial Differential Equations
11 Journal of Mathematical Imaging and Vision
11 Journal of Mathematical Sciences (New York)
11 Journal of Convex Analysis
10 International Journal for Numerical Methods in Engineering
10 Journal of Global Optimization
10 Structural and Multidisciplinary Optimization
9 Computers & Mathematics with Applications
9 Mathematical Methods in the Applied Sciences
9 Journal of Scientific Computing
9 NoDEA. Nonlinear Differential Equations and Applications
9 Mathematics and Mechanics of Solids
8 Journal d’Analyse Mathématique
8 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
8 The Journal of Geometric Analysis
8 SIAM Journal on Optimization
8 Inverse Problems and Imaging
8 SIAM Journal on Imaging Sciences
7 Applied Mathematics and Computation
7 Manuscripta Mathematica
7 Numerical Functional Analysis and Optimization
7 Quarterly of Applied Mathematics
7 Zeitschrift für Analysis und ihre Anwendungen
7 Mathematical Programming. Series A. Series B
7 SIAM Journal on Scientific Computing
7 Communications in Contemporary Mathematics
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Journal of Computational Physics
6 Advances in Mathematics
6 Journal of Computational and Applied Mathematics
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 Continuum Mechanics and Thermodynamics
6 Potential Analysis
6 St. Petersburg Mathematical Journal
6 Journal of the European Mathematical Society (JEMS)
6 Milan Journal of Mathematics
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
6 Analysis and Applications (Singapore)
6 Discrete and Continuous Dynamical Systems. Series S
5 Duke Mathematical Journal
5 Acta Applicandae Mathematicae
5 Journal of Nonlinear Science
5 Computational Optimization and Applications
5 Bulletin des Sciences Mathématiques
5 Vietnam Journal of Mathematics
5 Revista Matemática Complutense
5 European Journal of Mechanics. A. Solids
5 Nonlinear Analysis. Real World Applications
5 Discrete and Continuous Dynamical Systems. Series B
5 Networks and Heterogeneous Media
5 Mathematical Control and Related Fields
5 Journal de l’École Polytechnique – Mathématiques
4 Communications in Mathematical Physics
4 Journal of the Mechanics and Physics of Solids
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Mathematics of Computation
4 Journal of Geometry and Physics
4 Integral Equations and Operator Theory
4 Mathematische Annalen
4 Rendiconti del Seminario Matemàtico e Fisico di Milano
4 Ricerche di Matematica
4 Chinese Annals of Mathematics. Series B
4 Applied Numerical Mathematics
4 Applied Mathematics Letters
4 European Journal of Applied Mathematics
4 SIAM Journal on Applied Mathematics
4 Stochastic Processes and their Applications
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Optimization and Engineering
4 Journal of Evolution Equations
...and 179 more Serials
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Cited in 52 Fields

973 Calculus of variations and optimal control; optimization (49-XX)
663 Partial differential equations (35-XX)
324 Mechanics of deformable solids (74-XX)
189 Numerical analysis (65-XX)
147 Operations research, mathematical programming (90-XX)
92 Operator theory (47-XX)
82 Functional analysis (46-XX)
71 Real functions (26-XX)
70 Global analysis, analysis on manifolds (58-XX)
63 Ordinary differential equations (34-XX)
62 Probability theory and stochastic processes (60-XX)
52 Measure and integration (28-XX)
48 Fluid mechanics (76-XX)
45 Differential geometry (53-XX)
45 Systems theory; control (93-XX)
41 Dynamical systems and ergodic theory (37-XX)
41 Information and communication theory, circuits (94-XX)
39 Computer science (68-XX)
38 Biology and other natural sciences (92-XX)
36 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
35 Statistical mechanics, structure of matter (82-XX)
31 Convex and discrete geometry (52-XX)
28 Mechanics of particles and systems (70-XX)
25 General topology (54-XX)
22 Potential theory (31-XX)
15 Optics, electromagnetic theory (78-XX)
14 Statistics (62-XX)
13 Integral equations (45-XX)
13 Quantum theory (81-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Approximations and expansions (41-XX)
9 Geometry (51-XX)
7 Functions of a complex variable (30-XX)
5 History and biography (01-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 General and overarching topics; collections (00-XX)
4 Combinatorics (05-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Difference and functional equations (39-XX)
3 Relativity and gravitational theory (83-XX)
3 Geophysics (86-XX)
2 Mathematical logic and foundations (03-XX)
2 Integral transforms, operational calculus (44-XX)
2 Astronomy and astrophysics (85-XX)
1 Number theory (11-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Manifolds and cell complexes (57-XX)

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