Edit Profile (opens in new tab) Buttazzo, Giuseppe Co-Author Distance Author ID: buttazzo.giuseppe Published as: Buttazzo, Giuseppe; Buttazzo, G.; Buttazzo, Giusseppe; Buttazzo, Guiseppe; Buttao, Giuseppe more...less Homepage: https://people.dm.unipi.it/buttazzo/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 211 Publications since 1977, including 10 Books and 4 Additional arXiv Preprints 10 Contributions as Editor Reviewing Activity: 201 Reviews Biographic References: 1 Publication Co-Authors: 127 Co-Authors with 198 Joint Publications 3,060 Co-Co-Authors all top 5 Co-Authors 23 single-authored 17 Bouchitté, Guy 17 Bucur, Dorin 16 Dal Maso, Gianni 15 Velichkov, Bozhidar 11 Acerbi, Emilio 10 Stepanov, Eugene 9 De Pascale, Luigi 9 Santambrogio, Filippo 8 Ambrosio, Luigi 7 Fragalà, Ilaria 6 Carlier, Guillaume 5 Alberti, Giovanni 5 Briani, Luca 5 Freddi, Lorenzo 5 Guarino Lo Bianco, Serena 5 Oudet, Edouard 5 Prinari, Francesca 4 Faina, Loris 4 Maestre, Faustino 4 Maiale, Francesco Paolo 4 Percivale, Danilo 4 Pratelli, Aldo 4 Varchon, Nicolas 3 Attouch, Hedy 3 Brancolini, Alessio 3 Champion, Thierry 3 Henrot, Antoine 3 Kawohl, Bernd 3 Leaci, Antonio 3 Nazarov, Sergeĭ Aleksandrovich 3 van den Berg, Michiel 2 Alfonso, Juan Carlos López 2 Bartels, Sören 2 Belloni, Marino 2 Boccardo, Lucio 2 Braides, Andrea 2 Brasco, Lorenzo 2 Cardone, Giuseppe 2 Casado-Díaz, Juan 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 Nitsch, Carlo 2 Nuñez, Luis 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 Bogoşel, Beniamin 1 Bongini, Mattia 1 Brenier, Yann 1 Caffarelli, Luis Ángel 1 Capuzzo Dolcetta, Italo 1 Casas, Eduardo 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 de Teresa, Luz 1 Eichinger, Katharina 1 Ferone, Vincenzo 1 Galdi, Giovanni Paolo 1 Gangbo, Wilfrid 1 Garroni, Adriana 1 Gastaldi, Fabio 1 Gelli, Maria Stella 1 Gerolin, Augusto 1 Giaquinta, Mariano 1 Glowinski, Roland 1 Gori-Giorgi, Paola 1 Guasoni, Paolo 1 Hildebrandt, Stefan 1 Keller, Hedwig 1 Kogut, Peter I. 1 Laborde, Maxime 1 Leugering, Günter 1 Lučić, Danka 1 Lux, Anne 1 Macià, Fabricio 1 Mainini, Edoardo ...and 28 more Co-Authors all top 5 Serials 12 Journal of Convex Analysis 7 SIAM Journal on Mathematical Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Archive for Rational Mechanics and 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 Calculus of Variations and Partial Differential Equations 6 Discrete and Continuous Dynamical Systems 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Optimization Theory and Applications 4 Advances in Mathematical Sciences and Applications 4 Interfaces and Free Boundaries 4 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Optimization 3 Journal für die Reine und Angewandte Mathematik 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 SIAM Journal on Control and Optimization 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Advances in Calculus of Variations 2 Journal d’Analyse Mathématique 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Manuscripta Mathematica 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 Journal of the European Mathematical Society (JEMS) 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Lecture Notes in Mathematics 2 Networks and Heterogeneous Media 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 Bulletin of the London Mathematical Society 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 Revista Matemática Iberoamericana 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 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 Communications in Contemporary Mathematics 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 Bollettino della Unione Matematica Italiana. Series V. B 1 Oxford Lecture Series in Mathematics and its Applications 1 Pitman Research Notes in Mathematics Series 1 Quaderni dell’Unione Matematica Italiana 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 1 Annales Henri Lebesgue all top 5 Fields 191 Calculus of variations and optimal control; optimization (49-XX) 63 Partial differential equations (35-XX) 31 Mechanics of deformable solids (74-XX) 21 Functional analysis (46-XX) 14 Operator theory (47-XX) 13 Operations research, mathematical programming (90-XX) 11 General and overarching topics; collections (00-XX) 10 Measure and integration (28-XX) 9 Real functions (26-XX) 9 Differential geometry (53-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 General topology (54-XX) 5 Probability theory and stochastic processes (60-XX) 5 Numerical analysis (65-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 178 Publications have been cited 3,440 times in 2,431 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 282 2006 Variational methods in shape optimization problems. Zbl 1117.49001 Bucur, Dorin; Buttazzo, Giuseppe 223 2005 Semicontinuity, relaxation and integral representation in the calculus of variations. Zbl 0669.49005 Buttazzo, Giuseppe 199 1989 Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. 2nd revised ed. Zbl 1311.49001 Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard 188 2014 One-dimensional variational problems. An introduction. Zbl 0915.49001 Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan 166 1998 An optimal design problem with perimeter penalization. Zbl 0794.49040 Ambrosio, Luigi; Buttazzo, Giuseppe 99 1993 An existence result for a class of shape optimization problems. Zbl 0811.49028 Buttazzo, Giuseppe; Dal Maso, Gianni 93 1993 A variational definition of the strain energy for an elastic string. Zbl 0734.73094 Acerbi, Emilio; Buttazzo, Giuseppe; Percivale, Danilo 89 1991 General existence theorems for unilateral problems in continuum mechanics. Zbl 0646.73011 Baiocchi, Claudio; Buttazzo, Giuseppe; Gastaldi, Fabio; Tomarelli, Franco 86 1988 Characterization of optimal shapes and masses through Monge-Kantorovich equation. Zbl 0982.49025 Bouchitté, Guy; Buttazzo, Guiseppe 70 2001 Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions. Zbl 0762.49017 Buttazzo, Giuseppe; Dal Maso, Gianni 67 1991 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 64 2003 Energies with respect to a measure and applications to low dimensional structures. Zbl 0934.49011 Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 63 1997 Minimum problems over sets of concave functions and related questions. Zbl 0835.49001 Buttazzo, Giuseppe; Ferone, Vincenzo; Kawohl, Bernhard 54 1995 Gamma-convergence and optimal control problems. Zbl 0471.49012 Buttazzo, G.; Dal Maso, G. 48 1982 Shape optimization solutions via Monge-Kantorovich equation. Zbl 0884.49023 Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 47 1997 \(\Gamma\)-limits of integral functionals. Zbl 0446.49012 Buttazzo, Giuseppe; Dal Maso, Gianni 47 1980 Existence results for some optimal partition problems. Zbl 0915.49006 Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 43 1998 A survey on old and recent results about the gap phenomenon in the calculus of variations. Zbl 0852.49001 Buttazzo, G.; Belloni, M. 43 1995 Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. Zbl 0689.49025 Ambrosio, Luigi; Ascenzi, Oscar; Buttazzo, Giuseppe 43 1989 New lower semicontinuity results for nonconvex functionals defined on measures. Zbl 0736.49007 Bouchitté, Guy; Buttazzo, Giuseppe 39 1990 Reinforcement problems in the calculus of variations. Zbl 0607.73018 Acerbi, Emilio; Buttazzo, Giuseppe 36 1986 Optimal transportation problems with free Dirichlet regions. Zbl 1055.49029 Buttazzo, Giuseppe; Oudet, Edouard; Stepanov, Eugene 36 2002 On Newton’s problem of minimal resistance. Zbl 0800.49038 Buttazzo, Giuseppe; Kawohl, Bernhard 33 1993 On the lower semicontinuity of certain integral functionals. Zbl 0554.49006 De Giorgi, Ennio; Buttazzo, Giuseppe; Dal Maso, Gianni 33 1983 Interpretation of the Lavrentiev phenomenon by relaxation. Zbl 0784.49006 Buttazzo, Giuseppe; Mizel, Victor J. 31 1992 Optimal transportation networks as free Dirichlet for the Monge-Kantorovich problem. Zbl 1127.49031 Buttazzo, Giuseppe; Stepanov, Eugene 29 2003 Relaxation results for some free discontinuity problems. Zbl 0817.49015 Bouchitté, Guy; Braides, Andrea; Buttazzo, Giuseppe 28 1995 Integral representation and relaxation of local functionals. Zbl 0527.49008 Buttazzo, Giuseppe; Dal Maso, G. 26 1985 Path functionals over Wasserstein spaces. Zbl 1130.49036 Brancolini, A.; Buttazzo, G.; Santambrogio, F. 26 2006 An optimization problem for mass transportation with congested dynamics. Zbl 1282.49035 Buttazzo, G.; Jimenez, C.; Oudet, E. 24 2009 A \(p\)-Laplacian approximation for some mass optimization problems. Zbl 1040.49040 Bouchitté, G.; Buttazzo, G.; De Pascale, L. 24 2003 Optimal urban networks via mass transportation. Zbl 1190.90003 Buttazzo, Giuseppe; Pratelli, Aldo; Solimini, Sergio; Stepanov, Eugene 23 2009 Overdetermined boundary value problems for the \(\infty \)-Laplacian. Zbl 1219.35145 Buttazzo, Giuseppe; Kawohl, Bernd 22 2011 Thin inclusions in linear elasticity: A variational approach. Zbl 0633.73021 Acerbi, E.; Buttazzo, G.; Percivale, D. 21 1988 Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032 Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 21 2009 On the approximation of the elastic bounce problem on Riemannian manifolds. Zbl 0498.58011 Buttazzo, Giuseppe; Percivale, Danilo 20 1983 Shape optimization problems over classes of convex domains. Zbl 0921.49030 Buttazzo, Giuseppe; Guasoni, Paolo 19 1997 Spectral optimization problems. Zbl 1226.49038 Buttazzo, Giuseppe 19 2011 Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity. Zbl 1329.49095 van den Berg, Michiel; Buttazzo, Giuseppe; Velichkov, Bozhidar 19 2015 On relations between principal eigenvalue and torsional rigidity. Zbl 1479.49092 van den Berg, Michiel; Buttazzo, Giuseppe; Pratelli, Aldo 19 2021 A model for the optimal planning of an urban area. Zbl 1109.49027 Buttazzo, Giuseppe; Santambrogio, Filippo 19 2005 Su una definizione generale dei \(\Gamma\)-limiti. Zbl 0445.49016 Buttazzo, Giuseppe 19 1977 Weak optimal controls in coefficients for linear elliptic problems. Zbl 1210.35129 Buttazzo, Giuseppe; Kogut, Peter I. 18 2011 Integral representation of nonconvex functionals defined on measures. Zbl 0757.49012 Bouchitté, G.; Buttazzo, G. 17 1992 Compatibility conditions for nonlinear Neumann problems. Zbl 0746.49012 Buttazzo, Giuseppe; Tomarelli, Franco 17 1991 Functionals defined on measures and applications to non equi-uniformly elliptic problems. Zbl 0767.35010 Buttazzo, Giuseppe; Freddi, Lorenzo 17 1991 On the selection of maximal Cheeger sets. Zbl 1212.49019 Buttazzo, Giuseppe; Carlier, Guillaume; Comte, Myriam 17 2007 Continuity and estimates for multimarginal optimal transportation problems with singular costs. Zbl 1400.49051 Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 17 2018 On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099 Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel 16 1999 The class of functionals which can be represented by a supremum. Zbl 1012.49010 Acerbi, Emilio; Buttazzo, Giuseppe; Prinari, Francesca 14 2002 Sull’approssimazione del problema del rimbalzo unidimensionale. Zbl 0508.73024 Buttazzo, Giuseppe; Percivale, Danilo 14 1981 On the limits of periodic Riemannian metrics. Zbl 0564.49025 Acerbi, Emilio; Buttao, Giuseppe 14 1984 Relaxation of bulk and interfacial energies. Zbl 0876.49037 Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene 14 1996 Variational methods in some shape optimization problems. Zbl 1066.49026 Bucur, Dorin; Buttazzo, Giuseppe 14 2002 Two optimization problems in thermal insulation. Zbl 1372.80002 Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo 14 2017 Some relaxation problems in optimal control theory. Zbl 0633.49007 Buttazzo, Giuseppe 13 1987 Relaxation for a class of nonconvex functionals defined on measures. Zbl 0791.49016 Bouchitté, Guy; Buttazzo, Giuseppe 13 1993 Weak lower semicontinuous envelope of functionals defined on a space of measures. Zbl 0648.49009 Ambrosio, Luigi; Buttazzo, Giuseppe 13 1988 Optimal control problems in transport dynamics. Zbl 1365.49004 Bongini, Mattia; Buttazzo, Giuseppe 13 2017 A mass transportation model for the optimal planning of an urban region. Zbl 1170.49013 Buttazzo, Giuseppe; Santambrogio, Filippo 13 2009 Asymptotical compliance optimization for connected networks. Zbl 1223.49017 Buttazzo, Giuseppe; Santambrogio, Filippo 13 2007 Asymptotic behaviour for Dirichlet problems in domains bounded by thin layers. Zbl 0699.35062 Buttazzo, Giuseppe; Dal Maso, Gianni; Mosco, Umberto 12 1989 Semicontinuity and relaxation for integrals depending on vector valued functions. Zbl 0481.49013 Acerbi, Emilio; Buttazzo, Giuseppe; Fusco, Nicola 12 1983 A derivation theorem for capacities with respect to a Radon measure. Zbl 0622.28006 Buttazzo, Giuseppe; Dal Maso, Gianni; Mosco, Umberto 12 1987 A Benamou-Brenier approach to branched transport. Zbl 1223.49047 Brasco, L.; Buttazzo, G.; Santambrogio, F. 12 2011 Spectral optimization problems for potentials and measures. Zbl 1301.49122 Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar 12 2014 Sharp estimates for the anisotropic torsional rigidity and the principal frequency. Zbl 1516.35276 Buttazzo, Giuseppe; Guarino Lo Bianco, Serena; Marini, Michele 12 2018 Stationary configurations for the average distance functional and related problems. Zbl 1239.49029 Buttazzo, Giuseppe; Mainini, Edoardo; Stepanov, Eugene 11 2009 Optimal potentials for Schrödinger operators. (Potentiels optimaux pour les opérateurs de Schrödinger.) Zbl 1306.49018 Buttazzo, Giuseppe; Gerolin, Augusto; Ruffini, Berardo; Velichkov, Bozhidar 11 2014 On the Wasserstein distance between mutually singular measures. Zbl 1446.49010 Buttazzo, Giuseppe; Carlier, Guillaume; Laborde, Maxime 11 2020 Convergence of Sobolev spaces on varying manifolds. Zbl 1055.49009 Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 10 2001 On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023 Bucur, Dorin; Buttazzo, Giuseppe 10 2012 Minimization problems for average distance functionals. Zbl 1089.49040 Buttazzo, Giuseppe; Stepanov, Eugene 10 2004 Thin elastic plates supported over small areas. II: Variational-asymptotic models. Zbl 1462.74103 Buttazzo, Giuseppe; Cardone, Giuseppe; Nazarov, Sergei A. 10 2017 Optimal networks for mass transportation problems. Zbl 1103.49002 Brancolini, Alessio; Buttazzo, Giuseppe 10 2005 Dirichlet problem for demi-coercive functionals. Zbl 0612.49008 Anzellotti, G.; Buttazzo, G.; Dal Maso, G. 9 1986 Asymptotics of an optimal compliance-location problem. Zbl 1114.49016 Buttazzo, Giuseppe; Santambrogio, Filippo; Varchon, Nicolas 9 2006 Some inequalities involving perimeter and torsional rigidity. Zbl 1475.49049 Briani, Luca; Buttazzo, Giuseppe; Prinari, Francesca 9 2021 Riemannian approximation of Finsler metrics. Zbl 1032.49020 Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria 9 2002 Limit problems for plates surrounded by soft material. Zbl 0624.73021 Acerbi, Emilio; Buttazzo, Giuseppe 8 1986 Thin insulating layers: The optimization point of view. Zbl 0645.73015 Buttazzo, Giuseppe 8 1988 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 8 1985 Mean curvature of a measure and related variational problems. Zbl 1015.49015 Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 8 1997 Optimal pricing policies for public transportation networks. Zbl 1093.49030 Buttazzo, Giuseppe; Pratelli, Aldo; Stepanov, Eugene 8 2006 Topological equivalence of some variational problems involving distances. Zbl 1025.49013 Buttazzo, Giuseppe; De Pascale, Luigi; Fragalà, Ilaria 8 2001 Spectral optimization problems with internal constraint. Zbl 1287.49049 Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar 8 2013 On the optimal reinforcement of an elastic membrane. Zbl 1092.49027 Buttazzo, Giuseppe; Varchon, Nicolas 8 2005 A survey on the Newton problem of optimal profiles. Zbl 1182.49041 Buttazzo, Giuseppe 8 2009 Homogenization of reinforced periodic one-codimensional structures. Zbl 0654.73017 Attouch, H.; Buttazzo, G. 7 1987 On the envelopes of functions depending on singular values of matrices. Zbl 0803.49014 Buttazzo, G.; Dacorogna, B.; Gangbo, W. 7 1994 On the relaxed formulation of some shape optimization problems. Zbl 0971.49024 Buttazzo, G.; Dal Maso, G.; Garroni, A.; Malusa, A. 7 1997 Integral representation and relaxation for functionals defined on measures. Zbl 0713.49018 De Giorgi, Ennio; Ambrosio, Luigi; Buttazzo, Giuseppe 7 1987 The Monge-Kantorovich problem for distributions and applications. Zbl 1207.49014 Bouchitté, G.; Buttazzo, G.; De Pascale, L. 7 2010 Shape optimization for Dirichlet problems: Relaxed solutions and optimality conditions. Zbl 0718.49017 Buttazzo, Giuseppe; Dal Maso, Gianni 7 1990 Worst-case shape optimization for the Dirichlet energy. Zbl 1358.49013 Bellido, José Carlos; Buttazzo, Giuseppe; Velichkov, Bozhidar 7 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. 7 2016 A shape optimal control problem with changing sign data. Zbl 1391.49079 Buttazzo, Giuseppe; Velichkov, Bozhidar 7 2018 Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032 Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc 7 2006 Calculus of variations and partial differential equations. Topics on geometrical evolution problems and degree theory. Based on a summer school, Pisa, Italy, September 1996. Zbl 0932.00045 6 2000 Monge-Kantorovich interpolation with constraints and application to a parking problem. Zbl 1540.49052 Buttazzo, Giuseppe; Carlier, Guillaume; Eichinger, Katharina 1 2024 On the continuity of the continuous Steiner symmetrization. Zbl 1541.49022 Buttazzo, Giuseppe 1 2023 Inequalities between torsional rigidity and principal eigenvalue of the \(p\)-Laplacian. Zbl 1492.49039 Briani, Luca; Buttazzo, Giuseppe; Prinari, Francesca 5 2022 A shape optimization problem on planar sets with prescribed topology. Zbl 1489.49024 Briani, Luca; Buttazzo, Giuseppe; Prinari, Francesca 2 2022 On relations between principal eigenvalue and torsional rigidity. Zbl 1479.49092 van den Berg, Michiel; Buttazzo, Giuseppe; Pratelli, Aldo 19 2021 Some inequalities involving perimeter and torsional rigidity. Zbl 1475.49049 Briani, Luca; Buttazzo, Giuseppe; Prinari, Francesca 9 2021 On capacity and torsional rigidity. Zbl 1467.49036 van den Berg, M.; Buttazzo, G. 6 2021 An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams. Zbl 1467.49032 Buttazzo, Giuseppe; Pratelli, Aldo 5 2021 Dissociating limit in density functional theory with Coulomb optimal transport cost. Zbl 1490.82036 Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 4 2021 Shape optimization problems in control form. Zbl 1482.49048 Buttazzo, Giuseppe; Maiale, Francesco Paolo; Velichkov, Bozhidar 3 2021 Relaxed multi-marginal costs and quantization effects. Zbl 1461.49046 Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 3 2021 On the existence of optimal potentials on unbounded domains. Zbl 1459.49025 Buttazzo, Giuseppe; Casado-Díaz, Juan; Maestre, Faustino 2 2021 Shape optimization problems for functionals with a boundary integral. Zbl 1466.49034 Buttazzo, Giuseppe; Maiale, Francesco Paolo 1 2021 On the Wasserstein distance between mutually singular measures. Zbl 1446.49010 Buttazzo, Giuseppe; Carlier, Guillaume; Laborde, Maxime 11 2020 Optimal shapes for general integral functionals. (Formes optimales pour des fonctionnelles intégrales générales.) Zbl 1443.49047 Buttazzo, Giuseppe; Shrivastava, Harish 6 2020 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 2 2019 Continuity and estimates for multimarginal optimal transportation problems with singular costs. Zbl 1400.49051 Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 17 2018 Sharp estimates for the anisotropic torsional rigidity and the principal frequency. Zbl 1516.35276 Buttazzo, Giuseppe; Guarino Lo Bianco, Serena; Marini, Michele 12 2018 A shape optimal control problem with changing sign data. Zbl 1391.49079 Buttazzo, Giuseppe; Velichkov, Bozhidar 7 2018 Optimal potentials for problems with changing sign data. Zbl 1409.49007 Buttazzo, Giuseppe; Maestre, Faustino; Velichkov, Bozhidar 4 2018 Two optimization problems in thermal insulation. Zbl 1372.80002 Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo 14 2017 Optimal control problems in transport dynamics. Zbl 1365.49004 Bongini, Mattia; Buttazzo, Giuseppe 13 2017 Thin elastic plates supported over small areas. II: Variational-asymptotic models. Zbl 1462.74103 Buttazzo, Giuseppe; Cardone, Giuseppe; Nazarov, Sergei A. 10 2017 Worst-case shape optimization for the Dirichlet energy. Zbl 1358.49013 Bellido, José Carlos; Buttazzo, Giuseppe; Velichkov, Bozhidar 7 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. 7 2016 The spectral drop problem. Zbl 1350.49061 Buttazzo, Giuseppe; Velichkov, Bozhidar 6 2016 Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity. Zbl 1329.49095 van den Berg, Michiel; Buttazzo, Giuseppe; Velichkov, Bozhidar 19 2015 A free boundary problem arising in PDE optimization. Zbl 1342.49004 Buttazzo, Giuseppe; Oudet, Edouard; Velichkov, Bozhidar 4 2015 Improved energy bounds for Schrödinger operators. Zbl 1321.49077 Brasco, Lorenzo; Buttazzo, Giuseppe 3 2015 Optimal regions for congested transport. Zbl 1330.49047 Buttazzo, Giuseppe; Carlier, Guillaume; Lo Bianco, Serena Guarino 3 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 188 2014 Spectral optimization problems for potentials and measures. Zbl 1301.49122 Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar 12 2014 Optimal potentials for Schrödinger operators. (Potentiels optimaux pour les opérateurs de Schrödinger.) Zbl 1306.49018 Buttazzo, Giuseppe; Gerolin, Augusto; Ruffini, Berardo; Velichkov, Bozhidar 11 2014 Shape optimization problems for metric graphs. Zbl 1286.49050 Buttazzo, Giuseppe; Ruffini, Berardo; Velichkov, Bozhidar 5 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. 4 2014 On the equations of landscape formation. Zbl 1291.86001 Chen, Alex; Darbon, Jérôme; Buttazzo, Giuseppe; Santambrogio, Filippo; Morel, Jean-Michel 2 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 8 2013 Shape optimization problems on metric measure spaces. Zbl 1255.49073 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 On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023 Bucur, Dorin; Buttazzo, Giuseppe 10 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 2 2012 Variational analysis and aerospace engineering: Mathematical challenges for aerospace design. Contributions from a workshop held at the School of Mathematics in Erice, Italy, September 8–16, 2010. Zbl 1243.76003 1 2012 Shape flows for spectral optimization problems. Zbl 1263.49051 Bucur, Dorin; Buttazzo, Giuseppe; Stefanelli, Ulisse 1 2012 Overdetermined boundary value problems for the \(\infty \)-Laplacian. Zbl 1219.35145 Buttazzo, Giuseppe; Kawohl, Bernd 22 2011 Spectral optimization problems. Zbl 1226.49038 Buttazzo, Giuseppe 19 2011 Weak optimal controls in coefficients for linear elliptic problems. Zbl 1210.35129 Buttazzo, Giuseppe; Kogut, Peter I. 18 2011 A Benamou-Brenier approach to branched transport. Zbl 1223.49047 Brasco, L.; Buttazzo, G.; Santambrogio, F. 12 2011 An optimization problem for the biharmonic equation with Sobolev conditions. Zbl 1290.35070 Buttazzo, G.; Nazarov, S. A. 6 2011 Optimal shape for elliptic problems with random perturbations. Zbl 1246.49035 Buttazzo, Giuseppe; Maestre, Faustino 1 2011 The Monge-Kantorovich problem for distributions and applications. Zbl 1207.49014 Bouchitté, G.; Buttazzo, G.; De Pascale, L. 7 2010 Optimal spatial pricing strategies with transportation costs. Zbl 1235.49083 Buttazzo, G.; Carlier, G. 5 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. 24 2009 Optimal urban networks via mass transportation. Zbl 1190.90003 Buttazzo, Giuseppe; Pratelli, Aldo; Solimini, Sergio; Stepanov, Eugene 23 2009 Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032 Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 21 2009 A mass transportation model for the optimal planning of an urban region. Zbl 1170.49013 Buttazzo, Giuseppe; Santambrogio, Filippo 13 2009 Stationary configurations for the average distance functional and related problems. Zbl 1239.49029 Buttazzo, Giuseppe; Mainini, Edoardo; Stepanov, Eugene 11 2009 A survey on the Newton problem of optimal profiles. Zbl 1182.49041 Buttazzo, Giuseppe 8 2009 Long-term planning versus short-term planning in the asymptotical location problem. Zbl 1169.90386 Brancolini, Alessio; Buttazzo, Giuseppe; Santambrogio, Filippo; Stepanov, Eugene 6 2009 Variational analysis and aerospace engineering. Proceedings of the Erice workshop, Erice, Italy, September 8–16, 2007. Zbl 1173.49001 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 17 2007 Asymptotical compliance optimization for connected networks. Zbl 1223.49017 Buttazzo, Giuseppe; Santambrogio, Filippo 13 2007 Mini-workshop: Shape analysis for eigenvalues. Abstracts from the mini-workshop held April 8–14, 2007. Zbl 1177.49004 3 2007 Erratum to: “Topological equivalence of some variational problems involving distances”. Zbl 1330.49009 Buttazzo, Giuseppe; De Pascale, Luigi; Fragalà, Ilaria 2 2007 Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. Zbl 1095.49001 Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard 282 2006 Path functionals over Wasserstein spaces. Zbl 1130.49036 Brancolini, A.; Buttazzo, G.; Santambrogio, F. 26 2006 Asymptotics of an optimal compliance-location problem. Zbl 1114.49016 Buttazzo, Giuseppe; Santambrogio, Filippo; Varchon, Nicolas 9 2006 Optimal pricing policies for public transportation networks. Zbl 1093.49030 Buttazzo, Giuseppe; Pratelli, Aldo; Stepanov, Eugene 8 2006 Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032 Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc 7 2006 Optimal measures for elliptic problems. Zbl 1232.49049 Buttazzo, Giuseppe; Varchon, Nicolas; Zoubairi, Hakima 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 223 2005 A model for the optimal planning of an urban area. Zbl 1109.49027 Buttazzo, Giuseppe; Santambrogio, Filippo 19 2005 Optimal networks for mass transportation problems. Zbl 1103.49002 Brancolini, Alessio; Buttazzo, Giuseppe 10 2005 On the optimal reinforcement of an elastic membrane. Zbl 1092.49027 Buttazzo, Giuseppe; Varchon, Nicolas 8 2005 Transport density in Monge-Kantorovich problems with Dirichlet conditions. Zbl 1094.49028 Buttazzo, Giuseppe; Stepanov, Eugene 2 2005 \(\Gamma\) convergence of Hausdorff measures. Zbl 1106.49022 Buttazzo, G.; Schweizer, B. 2 2005 Minimization problems for average distance functionals. Zbl 1089.49040 Buttazzo, Giuseppe; Stepanov, Eugene 10 2004 Optimal Riemannian distances preventing mass transfer. Zbl 1077.49032 Buttazzo, Giuseppe; Davini, Fabricio; Fragalá, Ilaria; Maciá, Fabricio 4 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.; Villani, Cédric 64 2003 Optimal transportation networks as free Dirichlet for the Monge-Kantorovich problem. Zbl 1127.49031 Buttazzo, Giuseppe; Stepanov, Eugene 29 2003 A \(p\)-Laplacian approximation for some mass optimization problems. Zbl 1040.49040 Bouchitté, G.; Buttazzo, G.; De Pascale, L. 24 2003 On regularity of transport density in the Monge–Kantorovich problem. Zbl 1084.49036 Buttazzo, Giuseppe; Stepanov, Eugene 6 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 36 2002 The class of functionals which can be represented by a supremum. Zbl 1012.49010 Acerbi, Emilio; Buttazzo, Giuseppe; Prinari, Francesca 14 2002 Variational methods in some shape optimization problems. Zbl 1066.49026 Bucur, Dorin; Buttazzo, Giuseppe 14 2002 Riemannian approximation of Finsler metrics. Zbl 1032.49020 Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria 9 2002 On the relaxation of some optimal partition problems. Zbl 1063.49012 Buttazzo, Giuseppe; Timofte, Claudia 5 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 2 2002 Characterization of optimal shapes and masses through Monge-Kantorovich equation. Zbl 0982.49025 Bouchitté, Guy; Buttazzo, Guiseppe 70 2001 Convergence of Sobolev spaces on varying manifolds. Zbl 1055.49009 Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 10 2001 Topological equivalence of some variational problems involving distances. Zbl 1025.49013 Buttazzo, Giuseppe; De Pascale, Luigi; Fragalà, Ilaria 8 2001 Calculus of variations and partial differential equations. Topics on geometrical evolution problems and degree theory. Based on a summer school, Pisa, Italy, September 1996. Zbl 0932.00045 6 2000 ...and 78 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,523 Authors 87 Buttazzo, Giuseppe 36 Bucur, Dorin 33 Dal Maso, Gianni 29 Santambrogio, Filippo 27 Bouchitté, Guy 24 Zappale, Elvira 23 Fragalà, Ilaria 23 Velichkov, Bozhidar 22 Kogut, Peter I. 20 Braides, Andrea 19 Mariconda, Carlo 18 Attouch, Hedy 17 Pimenta, Marcos T. O. 16 Hintermüller, Michael 16 Percivale, Danilo 15 Brasco, Lorenzo 15 Mandallena, Jean-Philippe 15 Papageorgiou, Nikolaos S. 15 Prinari, Francesca 15 Tomarelli, Franco 15 van den Berg, Michiel 15 Wachsmuth, Gerd 14 Igbida, Noureddine 14 Wirth, Benedikt 13 De Arcangelis, Riccardo 13 Fonseca, Irene 13 Henrot, Antoine 13 Mazzoleni, Dario 13 Morandotti, Marco 13 Nazarov, Sergeĭ Aleksandrovich 12 Ambrosio, Luigi 12 Bogoşel, Beniamin 12 Casado-Díaz, Juan 12 Chambolle, Antonin 12 Christof, Constantin 12 Crasta, Graziano 12 De Pascale, Luigi 12 Manzo, Rosanna 12 Solombrino, Francesco 11 Antil, Harbir 11 Anza Hafsa, Omar 11 Leugering, Günter 11 Maddalena, Francesco 11 Trombetti, Cristina 10 Bartels, Sören 10 Brancolini, Alessio 10 Carlier, Guillaume 10 Freddi, Lorenzo 10 Kupenko, Olha P. 10 Michaille, Gérard 10 Pratelli, Aldo 10 Rossi, Julio Daniel 10 Surowiec, Thomas 10 Sychev, Mikhail A. 10 Terracini, Susanna 10 Treu, Giulia 9 Bergounioux, Maïtine 9 Briane, Marc 9 Figueiredo, Giovany Malcher 9 Granieri, Luca 9 Hakim, Abdelilah 9 Leonetti, Francesco 9 López, Ruben 9 Marigonda, Antonio 9 Nitsch, Carlo 9 Privat, Yannick 9 Rautenberg, Carlos N. 9 Stepanov, Eugene 9 Warma, Mahamadi 8 Adly, Samir 8 Barroso, Ana Cristina 8 Bettiol, Piernicola 8 Conti, Sergio 8 Davini, Andrea 8 Dweik, Samer 8 Garcke, Harald 8 Goeleven, Daniel 8 Gwinner, Joachim 8 Kouri, Drew P. 8 Lamberti, Pier Domenico 8 Lamboley, Jimmy 8 Le, Vy Khoi 8 Leaci, Antonio 8 Lemenant, Antoine 8 Lucardesi, Ilaria 8 Malusa, Annalisa 8 Marcellini, Paolo 8 Mazari-Fouquer, Idriss 8 Mora, Maria Giovanna 8 Müller, Stefan 8 Murat, François 8 Oudet, Edouard 8 Paroni, Roberto 8 Shirakawa, Ken 8 Tavares, Hugo 8 Zhu, Shengfeng 8 Zuazua, Enrique 8 Zucco, Davide 7 Alves, Claudianor Oliveira 7 Amar, Micol ...and 2,423 more Authors all top 5 Cited in 360 Serials 130 Calculus of Variations and Partial Differential Equations 107 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 74 Journal of Mathematical Analysis and Applications 71 Journal of Differential Equations 67 Archive for Rational Mechanics and Analysis 62 Nonlinear Analysis. 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Zeitschrift für angewandte Mathematik und Physik 9 Manuscripta Mathematica 9 Potential Analysis 9 Advances in Nonlinear Analysis 8 Mathematische Annalen 8 Quarterly of Applied Mathematics 8 Milan Journal of Mathematics 8 Networks and Heterogeneous Media 8 Journal de l’École Polytechnique – Mathématiques 7 Communications on Pure and Applied Mathematics 7 Advances in Mathematics 7 Numerical Functional Analysis and Optimization 7 Zeitschrift für Analysis und ihre Anwendungen 7 Acta Applicandae Mathematicae 7 Asymptotic Analysis 7 European Journal of Applied Mathematics 7 Continuum Mechanics and Thermodynamics 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Journal of Evolution Equations 7 Analysis and Applications (Singapore) 6 Communications in Mathematical Physics 6 Nonlinearity 6 Mathematics of Computation 6 Applied Mathematics and Computation 6 Bulletin of the London Mathematical Society 6 Duke Mathematical Journal 6 RAIRO. Modélisation Mathématique et Analyse Numérique 6 Applied Mathematics Letters 6 Electronic Journal of Differential Equations (EJDE) 6 St. Petersburg Mathematical Journal 6 Bulletin des Sciences Mathématiques 6 European Journal of Mechanics. A. Solids 6 Communications in Nonlinear Science and Numerical Simulation 6 Discrete and Continuous Dynamical Systems. Series B 6 Advanced Nonlinear Studies 6 Journal of Elliptic and Parabolic Equations 5 Journal of the Mechanics and Physics of Solids ...and 260 more Serials all top 5 Cited in 54 Fields 1,395 Calculus of variations and optimal control; optimization (49-XX) 1,041 Partial differential equations (35-XX) 435 Mechanics of deformable solids (74-XX) 307 Numerical analysis (65-XX) 227 Operations research, mathematical programming (90-XX) 134 Operator theory (47-XX) 131 Functional analysis (46-XX) 116 Real functions (26-XX) 99 Probability theory and stochastic processes (60-XX) 92 Global analysis, analysis on manifolds (58-XX) 88 Ordinary differential equations (34-XX) 78 Measure and integration (28-XX) 78 Differential geometry (53-XX) 76 Information and communication theory, circuits (94-XX) 75 Computer science (68-XX) 73 Fluid mechanics (76-XX) 67 Systems theory; control (93-XX) 66 Dynamical systems and ergodic theory (37-XX) 65 Convex and discrete geometry (52-XX) 59 Biology and other natural sciences (92-XX) 52 Statistical mechanics, structure of matter (82-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 44 Mechanics of particles and systems (70-XX) 39 Potential theory (31-XX) 29 General topology (54-XX) 23 Optics, electromagnetic theory (78-XX) 23 Classical thermodynamics, heat transfer (80-XX) 21 Integral equations (45-XX) 20 Statistics (62-XX) 20 Quantum theory (81-XX) 19 Approximations and expansions (41-XX) 13 Geometry (51-XX) 12 Combinatorics (05-XX) 12 Functions of a complex variable (30-XX) 9 History and biography (01-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 General and overarching topics; collections (00-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Relativity and gravitational theory (83-XX) 5 Geophysics (86-XX) 4 Mathematical logic and foundations (03-XX) 4 Difference and functional equations (39-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Integral transforms, operational calculus (44-XX) 2 Algebraic geometry (14-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-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 Topological groups, Lie groups (22-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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