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: http://www.dm.unipi.it/pages/buttazzo/ External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 201 Publications since 1977, including 10 Books 10 Contributions as Editor Reviewing Activity: 199 Reviews Co-Authors: 110 Co-Authors with 184 Joint Publications 2,297 Co-Co-Authors all top 5 Co-Authors 21 single-authored 17 Bouchitté, Guy 16 Bucur, Dorin 16 Dal Maso, Gianni 14 Velichkov, Bozhidar 11 Acerbi, Emilio 10 Stepanov, Eugene 9 Santambrogio, Filippo 8 Ambrosio, Luigi 8 De Pascale, Luigi 7 Fragalà, Ilaria 5 Alberti, Giovanni 5 Carlier, Guillaume 5 Freddi, Lorenzo 5 Prinari, Francesca 4 Briani, Luca 4 Faina, Loris 4 Guarino Lo Bianco, Serena 4 Oudet, Edouard 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 Maestre, Faustino 3 Maiale, Francesco Paolo 3 Nazarov, Sergeĭ Aleksandrovich 2 Alfonso, Juan Carlos López 2 Belloni, Marino 2 Boccardo, Lucio 2 Braides, Andrea 2 Brasco, Lorenzo 2 Cardone, Giuseppe 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 Ruffini, Berardo 2 Seppecher, Pierre 2 Tomarelli, Franco 2 Trebeschi, Paola 2 van den Berg, Michiel 2 Wagner, Alfred 1 Adly, Samir 1 Anzellotti, Gabriele 1 Ascenzi, Oscar 1 Azé, Dominique 1 Baiocchi, Claudio 1 Barroso, Ana Cristina 1 Bartels, Sören 1 Belhachmi, Zakaria 1 Bellido, José Carlos 1 Bongini, Mattia 1 Brenier, Yann 1 Caffarelli, Luis Ángel 1 Capuzzo Dolcetta, Italo 1 Casado-Díaz, Juan 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 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 Guasoni, Paolo 1 Hildebrandt, Stefan 1 Kogut, Peter I. 1 Laborde, Maxime 1 Leugering, Günter 1 Lučić, Danka 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 ...and 22 more Co-Authors all top 5 Serials 11 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 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 Archive for Rational Mechanics and Analysis 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 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 Interfaces and Free Boundaries 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 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 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 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 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 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 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 183 Calculus of variations and optimal control; optimization (49-XX) 59 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 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-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 History and biography (01-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 169 Publications have been cited 2,870 times in 2,040 Documents Cited by ▼ Year ▼ Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. Zbl 1095.49001Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard 239 2006 Variational methods in shape optimization problems. Zbl 1117.49001Bucur, Dorin; Buttazzo, Giuseppe 185 2005 Semicontinuity, relaxation and integral representation in the calculus of variations. Zbl 0669.49005Buttazzo, Giuseppe 169 1989 Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. 2nd revised ed. Zbl 1311.49001Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard 136 2014 One-dimensional variational problems. An introduction. Zbl 0915.49001Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan 123 1998 An optimal design problem with perimeter penalization. Zbl 0794.49040Ambrosio, Luigi; Buttazzo, Giuseppe 87 1993 A variational definition of the strain energy for an elastic string. Zbl 0734.73094Acerbi, Emilio; Buttazzo, Giuseppe; Percivale, Danilo 83 1991 General existence theorems for unilateral problems in continuum mechanics. Zbl 0646.73011Baiocchi, Claudio; Buttazzo, Giuseppe; Gastaldi, Fabio; Tomarelli, Franco 77 1988 An existence result for a class of shape optimization problems. Zbl 0811.49028Buttazzo, Giuseppe; Dal Maso, Gianni 71 1993 Characterization of optimal shapes and masses through Monge-Kantorovich equation. Zbl 0982.49025Bouchitté, Guy; Buttazzo, Guiseppe 63 2001 Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions. Zbl 0762.49017Buttazzo, Giuseppe; Dal Maso, Gianni 61 1991 Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2–8, 2001. Zbl 1013.00028Ambrosio, Luigi; Brenier, Yann; Buttazzo, Giusseppe; Caffarelli, Luis A.; Villani, Cédric 55 2003 Energies with respect to a measure and applications to low dimensional structures. Zbl 0934.49011Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 54 1997 \(\Gamma\)-limits of integral functionals. Zbl 0446.49012Buttazzo, Giuseppe; Dal Maso, Gianni 46 1980 Minimum problems over sets of concave functions and related questions. Zbl 0835.49001Buttazzo, Giuseppe; Ferone, Vincenzo; Kawohl, Bernhard 44 1995 Shape optimization solutions via Monge-Kantorovich equation. Zbl 0884.49023Bouchitté, Guy; Buttazzo, Giuseppe; Seppecher, Pierre 43 1997 Gamma-convergence and optimal control problems. Zbl 0471.49012Buttazzo, G.; Dal Maso, G. 42 1982 Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands. Zbl 0689.49025Ambrosio, Luigi; Ascenzi, Oscar; Buttazzo, Giuseppe 38 1989 Existence results for some optimal partition problems. Zbl 0915.49006Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 37 1998 New lower semicontinuity results for nonconvex functionals defined on measures. Zbl 0736.49007Bouchitté, Guy; Buttazzo, Giuseppe 36 1990 Optimal transportation problems with free Dirichlet regions. Zbl 1055.49029Buttazzo, Giuseppe; Oudet, Edouard; Stepanov, Eugene 34 2002 Reinforcement problems in the calculus of variations. Zbl 0607.73018Acerbi, Emilio; Buttazzo, Giuseppe 30 1986 On the lower semicontinuity of certain integral functionals. Zbl 0554.49006De Giorgi, Ennio; Buttazzo, Giuseppe; Dal Maso, Gianni 29 1983 Optimal transportation networks as free Dirichlet for the Monge-Kantorovich problem. Zbl 1127.49031Buttazzo, Giuseppe; Stepanov, Eugene 28 2003 A survey on old and recent results about the gap phenomenon in the calculus of variations. Zbl 0852.49001Buttazzo, G.; Belloni, M. 27 1995 On Newton’s problem of minimal resistance. Zbl 0800.49038Buttazzo, Giuseppe; Kawohl, Bernhard 25 1993 Integral representation and relaxation of local functionals. Zbl 0527.49008Buttazzo, Giuseppe; Dal Maso, G. 25 1985 Path functionals over Wasserstein spaces. Zbl 1130.49036Brancolini, A.; Buttazzo, G.; Santambrogio, F. 25 2006 Relaxation results for some free discontinuity problems. Zbl 0817.49015Bouchitté, Guy; Braides, Andrea; Buttazzo, Giuseppe 24 1995 A \(p\)-Laplacian approximation for some mass optimization problems. Zbl 1040.49040Bouchitté, G.; Buttazzo, G.; De Pascale, L. 23 2003 Optimal urban networks via mass transportation. Zbl 1190.90003Buttazzo, Giuseppe; Pratelli, Aldo; Solimini, Sergio; Stepanov, Eugene 23 2009 An optimization problem for mass transportation with congested dynamics. Zbl 1282.49035Buttazzo, G.; Jimenez, C.; Oudet, E. 23 2009 Interpretation of the Lavrentiev phenomenon by relaxation. Zbl 0784.49006Buttazzo, Giuseppe; Mizel, Victor J. 23 1992 Overdetermined boundary value problems for the \(\infty \)-Laplacian. Zbl 1219.35145Buttazzo, Giuseppe; Kawohl, Bernd 20 2011 Thin inclusions in linear elasticity: A variational approach. Zbl 0633.73021Acerbi, E.; Buttazzo, G.; Percivale, D. 19 1988 A model for the optimal planning of an urban area. Zbl 1109.49027Buttazzo, Giuseppe; Santambrogio, Filippo 19 2005 Weak optimal controls in coefficients for linear elliptic problems. Zbl 1210.35129Buttazzo, Giuseppe; Kogut, Peter I. 18 2011 Su una definizione generale dei \(\Gamma\)-limiti. Zbl 0445.49016Buttazzo, Giuseppe 18 1977 Spectral optimization problems. Zbl 1226.49038Buttazzo, Giuseppe 17 2011 On the approximation of the elastic bounce problem on Riemannian manifolds. Zbl 0498.58011Buttazzo, Giuseppe; Percivale, Danilo 17 1983 Integral representation of nonconvex functionals defined on measures. Zbl 0757.49012Bouchitté, G.; Buttazzo, G. 16 1992 Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 16 2009 Functionals defined on measures and applications to non equi-uniformly elliptic problems. Zbl 0767.35010Buttazzo, Giuseppe; Freddi, Lorenzo 16 1991 Shape optimization problems over classes of convex domains. Zbl 0921.49030Buttazzo, Giuseppe; Guasoni, Paolo 15 1997 Compatibility conditions for nonlinear Neumann problems. Zbl 0746.49012Buttazzo, Giuseppe; Tomarelli, Franco 15 1991 Continuity and estimates for multimarginal optimal transportation problems with singular costs. Zbl 1400.49051Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 14 2018 On the selection of maximal Cheeger sets. Zbl 1212.49019Buttazzo, Giuseppe; Carlier, Guillaume; Comte, Myriam 14 2007 Weak lower semicontinuous envelope of functionals defined on a space of measures. Zbl 0648.49009Ambrosio, Luigi; Buttazzo, Giuseppe 13 1988 Asymptotical compliance optimization for connected networks. Zbl 1223.49017Buttazzo, Giuseppe; Santambrogio, Filippo 13 2007 A mass transportation model for the optimal planning of an urban region. Zbl 1170.49013Buttazzo, Giuseppe; Santambrogio, Filippo 13 2009 On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel 13 1999 Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity. Zbl 1329.49095van den Berg, Michiel; Buttazzo, Giuseppe; Velichkov, Bozhidar 13 2015 A derivation theorem for capacities with respect to a Radon measure. Zbl 0622.28006Buttazzo, Giuseppe; Dal Maso, Gianni; Mosco, Umberto 12 1987 Some relaxation problems in optimal control theory. Zbl 0633.49007Buttazzo, Giuseppe 12 1987 Semicontinuity and relaxation for integrals depending on vector valued functions. Zbl 0481.49013Acerbi, Emilio; Buttazzo, Giuseppe; Fusco, Nicola 12 1983 Sull’approssimazione del problema del rimbalzo unidimensionale. Zbl 0508.73024Buttazzo, Giuseppe; Percivale, Danilo 12 1981 The class of functionals which can be represented by a supremum. Zbl 1012.49010Acerbi, Emilio; Buttazzo, Giuseppe; Prinari, Francesca 11 2002 On the limits of periodic Riemannian metrics. Zbl 0564.49025Acerbi, Emilio; Buttao, Giuseppe 11 1984 A Benamou-Brenier approach to branched transport. Zbl 1223.49047Brasco, L.; Buttazzo, G.; Santambrogio, F. 11 2011 Relaxation for a class of nonconvex functionals defined on measures. Zbl 0791.49016Bouchitté, Guy; Buttazzo, Giuseppe 11 1993 On relations between principal eigenvalue and torsional rigidity. Zbl 1479.49092van den Berg, Michiel; Buttazzo, Giuseppe; Pratelli, Aldo 11 2021 Stationary configurations for the average distance functional and related problems. Zbl 1239.49029Buttazzo, Giuseppe; Mainini, Edoardo; Stepanov, Eugene 11 2009 Relaxation of bulk and interfacial energies. Zbl 0876.49037Barroso, Ana Cristina; Bouchitté, Guy; Buttazzo, Giuseppe; Fonseca, Irene 10 1996 Optimal control problems in transport dynamics. Zbl 1365.49004Bongini, Mattia; Buttazzo, Giuseppe 10 2017 Optimal networks for mass transportation problems. Zbl 1103.49002Brancolini, Alessio; Buttazzo, Giuseppe 10 2005 Sharp estimates for the anisotropic torsional rigidity and the principal frequency. Zbl 1516.35276Buttazzo, Giuseppe; Guarino Lo Bianco, Serena; Marini, Michele 9 2018 Two optimization problems in thermal insulation. Zbl 1372.80002Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo 9 2017 Convergence of Sobolev spaces on varying manifolds. Zbl 1055.49009Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 9 2001 Shape optimization for Dirichlet problems: Relaxed solutions and optimality conditions. Zbl 0718.49017Buttazzo, Giuseppe; Dal Maso, Gianni 9 1990 Optimal potentials for Schrödinger operators. (Potentiels optimaux pour les opérateurs de Schrödinger.) Zbl 1306.49018Buttazzo, Giuseppe; Gerolin, Augusto; Ruffini, Berardo; Velichkov, Bozhidar 9 2014 Spectral optimization problems for potentials and measures. Zbl 1301.49122Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar 9 2014 Minimization problems for average distance functionals. Zbl 1089.49040Buttazzo, Giuseppe; Stepanov, Eugene 9 2004 Dirichlet problem for demi-coercive functionals. Zbl 0612.49008Anzellotti, G.; Buttazzo, G.; Dal Maso, G. 8 1986 Mean curvature of a measure and related variational problems. Zbl 1015.49015Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 8 1997 Riemannian approximation of Finsler metrics. Zbl 1032.49020Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria 8 2002 Thin elastic plates supported over small areas. II: Variational-asymptotic models. Zbl 1462.74103Buttazzo, Giuseppe; Cardone, Giuseppe; Nazarov, Sergei A. 8 2017 Asymptotics of an optimal compliance-location problem. Zbl 1114.49016Buttazzo, Giuseppe; Santambrogio, Filippo; Varchon, Nicolas 8 2006 On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023Bucur, Dorin; Buttazzo, Giuseppe 8 2012 Optimal pricing policies for public transportation networks. Zbl 1093.49030Buttazzo, Giuseppe; Pratelli, Aldo; Stepanov, Eugene 8 2006 On the optimal reinforcement of an elastic membrane. Zbl 1092.49027Buttazzo, Giuseppe; Varchon, Nicolas 8 2005 Limit problems for plates surrounded by soft material. Zbl 0624.73021Acerbi, Emilio; Buttazzo, Giuseppe 7 1986 Homogenization of reinforced periodic one-codimensional structures. Zbl 0654.73017Attouch, H.; Buttazzo, G. 7 1987 Thin elastic plates supported over small areas. I: Korn’s inequalities and boundary layers. Zbl 1349.74234Buttazzo, G.; Cardone, G.; Nazarov, S. A. 7 2016 A characterization of nonlinear functionals on Sobolev spaces which admit an integral representation with a Carathéodory integrand. Zbl 0582.46038Buttazzo, Giuseppe; Dal Maso, Gianni 7 1985 A survey on the Newton problem of optimal profiles. Zbl 1182.49041Buttazzo, Giuseppe 7 2009 Spectral optimization problems with internal constraint. Zbl 1287.49049Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar 7 2013 Variational methods in some shape optimization problems. Zbl 1066.49026Bucur, Dorin; Buttazzo, Giuseppe 7 2002 On the relaxed formulation of some shape optimization problems. Zbl 0971.49024Buttazzo, G.; Dal Maso, G.; Garroni, A.; Malusa, A. 7 1997 Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc 7 2006 The spectral drop problem. Zbl 1350.49061Buttazzo, Giuseppe; Velichkov, Bozhidar 6 2016 Integral representation and relaxation for functionals defined on measures. Zbl 0713.49018De Giorgi, Ennio; Ambrosio, Luigi; Buttazzo, Giuseppe 6 1987 Long-term planning versus short-term planning in the asymptotical location problem. Zbl 1169.90386Brancolini, Alessio; Buttazzo, Giuseppe; Santambrogio, Filippo; Stepanov, Eugene 6 2009 On the envelopes of functions depending on singular values of matrices. Zbl 0803.49014Buttazzo, G.; Dacorogna, B.; Gangbo, W. 6 1994 Topological equivalence of some variational problems involving distances. Zbl 1025.49013Buttazzo, Giuseppe; De Pascale, Luigi; Fragalà, Ilaria 6 2001 The Monge-Kantorovich problem for distributions and applications. Zbl 1207.49014Bouchitté, G.; Buttazzo, G.; De Pascale, L. 5 2010 Optimal spatial pricing strategies with transportation costs. Zbl 1235.49083Buttazzo, G.; Carlier, G. 5 2010 Asymptotic behaviour for Dirichlet problems in domains bounded by thin layers. Zbl 0699.35062Buttazzo, Giuseppe; Dal Maso, Gianni; Mosco, Umberto 5 1989 The bounce problem on \(n\)-dimensional Riemannian manifolds. Zbl 0548.58036Buttazzo, Giuseppe; Percivalle, Danilo 5 1981 Worst-case shape optimization for the Dirichlet energy. Zbl 1358.49013Bellido, José Carlos; Buttazzo, Giuseppe; Velichkov, Bozhidar 5 2017 An optimization problem for the biharmonic equation with Sobolev conditions. Zbl 1290.35070Buttazzo, G.; Nazarov, S. A. 5 2011 Inequalities between torsional rigidity and principal eigenvalue of the \(p\)-Laplacian. Zbl 1492.49039Briani, Luca; Buttazzo, Giuseppe; Prinari, Francesca 1 2022 A shape optimization problem on planar sets with prescribed topology. Zbl 1489.49024Briani, Luca; Buttazzo, Giuseppe; Prinari, Francesca 1 2022 On relations between principal eigenvalue and torsional rigidity. Zbl 1479.49092van den Berg, Michiel; Buttazzo, Giuseppe; Pratelli, Aldo 11 2021 On capacity and torsional rigidity. Zbl 1467.49036van den Berg, M.; Buttazzo, G. 5 2021 Some inequalities involving perimeter and torsional rigidity. Zbl 1475.49049Briani, Luca; Buttazzo, Giuseppe; Prinari, Francesca 5 2021 An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams. Zbl 1467.49032Buttazzo, Giuseppe; Pratelli, Aldo 4 2021 Dissociating limit in density functional theory with Coulomb optimal transport cost. Zbl 1490.82036Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 2 2021 Relaxed multi-marginal costs and quantization effects. Zbl 1461.49046Bouchitté, Guy; Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 1 2021 On the Wasserstein distance between mutually singular measures. Zbl 1446.49010Buttazzo, Giuseppe; Carlier, Guillaume; Laborde, Maxime 5 2020 Optimal shapes for general integral functionals. (Formes optimales pour des fonctionnelles intégrales générales.) Zbl 1443.49047Buttazzo, Giuseppe; Shrivastava, Harish 5 2020 Optimal reinforcing networks for elastic membranes. Zbl 1426.49012Alberti, Giovanni; Buttazzo, Giuseppe; Bianco, Serena Guarino Lo; Oudet, Édouard 2 2019 Numerical solution of a nonlinear eigenvalue problem arising in optimal insulation. Zbl 1422.65358Bartels, Sören; Buttazzo, Giuseppe 2 2019 Continuity and estimates for multimarginal optimal transportation problems with singular costs. Zbl 1400.49051Buttazzo, Giuseppe; Champion, Thierry; De Pascale, Luigi 14 2018 Sharp estimates for the anisotropic torsional rigidity and the principal frequency. Zbl 1516.35276Buttazzo, Giuseppe; Guarino Lo Bianco, Serena; Marini, Michele 9 2018 A shape optimal control problem with changing sign data. Zbl 1391.49079Buttazzo, Giuseppe; Velichkov, Bozhidar 5 2018 Optimal potentials for problems with changing sign data. Zbl 1409.49007Buttazzo, Giuseppe; Maestre, Faustino; Velichkov, Bozhidar 2 2018 Optimal control problems in transport dynamics. Zbl 1365.49004Bongini, Mattia; Buttazzo, Giuseppe 10 2017 Two optimization problems in thermal insulation. Zbl 1372.80002Bucur, Dorin; Buttazzo, Giuseppe; Nitsch, Carlo 9 2017 Thin elastic plates supported over small areas. II: Variational-asymptotic models. Zbl 1462.74103Buttazzo, Giuseppe; Cardone, Giuseppe; Nazarov, Sergei A. 8 2017 Worst-case shape optimization for the Dirichlet energy. Zbl 1358.49013Bellido, José Carlos; Buttazzo, Giuseppe; Velichkov, Bozhidar 5 2017 Optimal design problems for Schrödinger operators with noncompact resolvents. Zbl 1358.49014Bouchitté, Guy; Buttazzo, Giuseppe 1 2017 Thin elastic plates supported over small areas. I: Korn’s inequalities and boundary layers. Zbl 1349.74234Buttazzo, G.; Cardone, G.; Nazarov, S. A. 7 2016 The spectral drop problem. Zbl 1350.49061Buttazzo, Giuseppe; Velichkov, Bozhidar 6 2016 Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity. Zbl 1329.49095van den Berg, Michiel; Buttazzo, Giuseppe; Velichkov, Bozhidar 13 2015 Optimal regions for congested transport. Zbl 1330.49047Buttazzo, Giuseppe; Carlier, Guillaume; Lo Bianco, Serena Guarino 3 2015 A free boundary problem arising in PDE optimization. Zbl 1342.49004Buttazzo, Giuseppe; Oudet, Edouard; Velichkov, Bozhidar 3 2015 Improved energy bounds for Schrödinger operators. Zbl 1321.49077Brasco, Lorenzo; Buttazzo, Giuseppe 2 2015 Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. 2nd revised ed. Zbl 1311.49001Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard 136 2014 Optimal potentials for Schrödinger operators. (Potentiels optimaux pour les opérateurs de Schrödinger.) Zbl 1306.49018Buttazzo, Giuseppe; Gerolin, Augusto; Ruffini, Berardo; Velichkov, Bozhidar 9 2014 Spectral optimization problems for potentials and measures. Zbl 1301.49122Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar 9 2014 Shape optimization problems for metric graphs. Zbl 1286.49050Buttazzo, Giuseppe; Ruffini, Berardo; Velichkov, Bozhidar 4 2014 Selecting radiotherapy dose distributions by means of constrained optimization problems. Zbl 1297.92038Alfonso, J. C. L.; Buttazzo, G.; García-Archilla, B.; Herrero, M. A.; Núñez, L. 4 2014 Optimal location problems with routing cost. Zbl 1275.49076Buttazzo, Giuseppe; Guarino Lo Bianco, Serena; Oliviero, Fabrizio 1 2014 On the equations of landscape formation. Zbl 1291.86001Chen, Alex; Darbon, Jérôme; Buttazzo, Giuseppe; Santambrogio, Filippo; Morel, Jean-Michel 1 2014 Spectral optimization problems with internal constraint. Zbl 1287.49049Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar 7 2013 Shape optimization problems on metric measure spaces. Zbl 1255.49073Buttazzo, Giuseppe; Velichkov, Bozhidar 4 2013 Asymptotic optimal location of facilities in a competition between population and industries. Zbl 1264.49047Buttazzo, Giuseppe; Santambrogio, Filippo; Stepanov, Eugene 2 2013 On the characterization of the compact embedding of Sobolev spaces. Zbl 1241.49023Bucur, Dorin; Buttazzo, Giuseppe 8 2012 A class of optimization problems in radiotherapy dosimetry planning. Zbl 1398.92121López Alfonso, Juan Carlos; Buttazzo, Giuseppe; García-Archilla, Bosco; Herrero, Miguel A.; Núñez, Luis 4 2012 Evolution models for mass transportation problems. Zbl 1255.49076Buttazzo, Giuseppe 2 2012 Overdetermined boundary value problems for the \(\infty \)-Laplacian. Zbl 1219.35145Buttazzo, Giuseppe; Kawohl, Bernd 20 2011 Weak optimal controls in coefficients for linear elliptic problems. Zbl 1210.35129Buttazzo, Giuseppe; Kogut, Peter I. 18 2011 Spectral optimization problems. Zbl 1226.49038Buttazzo, Giuseppe 17 2011 A Benamou-Brenier approach to branched transport. Zbl 1223.49047Brasco, L.; Buttazzo, G.; Santambrogio, F. 11 2011 An optimization problem for the biharmonic equation with Sobolev conditions. Zbl 1290.35070Buttazzo, G.; Nazarov, S. A. 5 2011 Optimal shape for elliptic problems with random perturbations. Zbl 1246.49035Buttazzo, Giuseppe; Maestre, Faustino 1 2011 The Monge-Kantorovich problem for distributions and applications. Zbl 1207.49014Bouchitté, G.; Buttazzo, G.; De Pascale, L. 5 2010 Optimal spatial pricing strategies with transportation costs. Zbl 1235.49083Buttazzo, G.; Carlier, G. 5 2010 On some rescaled shape optimization problems. Zbl 1189.49064Buttazzo, G.; Wagner, A. 1 2010 Optimal urban networks via mass transportation. Zbl 1190.90003Buttazzo, Giuseppe; Pratelli, Aldo; Solimini, Sergio; Stepanov, Eugene 23 2009 An optimization problem for mass transportation with congested dynamics. Zbl 1282.49035Buttazzo, G.; Jimenez, C.; Oudet, E. 23 2009 Minimization of \(\lambda_{2}(\Omega)\) with a perimeter constraint. Zbl 1186.49032Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 16 2009 A mass transportation model for the optimal planning of an urban region. Zbl 1170.49013Buttazzo, Giuseppe; Santambrogio, Filippo 13 2009 Stationary configurations for the average distance functional and related problems. Zbl 1239.49029Buttazzo, Giuseppe; Mainini, Edoardo; Stepanov, Eugene 11 2009 A survey on the Newton problem of optimal profiles. Zbl 1182.49041Buttazzo, Giuseppe 7 2009 Long-term planning versus short-term planning in the asymptotical location problem. Zbl 1169.90386Brancolini, 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 1155.74030Bucur, Dorin; Buttazzo, Giuseppe; Lux, Anne 4 2008 On the selection of maximal Cheeger sets. Zbl 1212.49019Buttazzo, Giuseppe; Carlier, Guillaume; Comte, Myriam 14 2007 Asymptotical compliance optimization for connected networks. Zbl 1223.49017Buttazzo, 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 1330.49009Buttazzo, Giuseppe; De Pascale, Luigi; Fragalà, Ilaria 1 2007 Variational analysis in Sobolev and BV spaces. Applications to PDEs and optimization. Zbl 1095.49001Attouch, Hedy; Buttazzo, Giuseppe; Michaille, Gérard 239 2006 Path functionals over Wasserstein spaces. Zbl 1130.49036Brancolini, A.; Buttazzo, G.; Santambrogio, F. 25 2006 Asymptotics of an optimal compliance-location problem. Zbl 1114.49016Buttazzo, Giuseppe; Santambrogio, Filippo; Varchon, Nicolas 8 2006 Optimal pricing policies for public transportation networks. Zbl 1093.49030Buttazzo, Giuseppe; Pratelli, Aldo; Stepanov, Eugene 8 2006 Shape optimization problems for eigenvalues of elliptic operators. Zbl 1087.49032Belhachmi, Zakaria; Bucur, Dorin; Buttazzo, Giuseppe; Sac-Epée, Jean-Marc 7 2006 Optimal measures for elliptic problems. Zbl 1232.49049Buttazzo, Giuseppe; Varchon, Nicolas; Zoubairi, Hakima 4 2006 Variational problems for functionals involving the value distribution. Zbl 1104.49008Buttazzo, Giuseppe; Rieger, Marc Oliver 1 2006 Variational methods in shape optimization problems. Zbl 1117.49001Bucur, Dorin; Buttazzo, Giuseppe 185 2005 A model for the optimal planning of an urban area. Zbl 1109.49027Buttazzo, Giuseppe; Santambrogio, Filippo 19 2005 Optimal networks for mass transportation problems. Zbl 1103.49002Brancolini, Alessio; Buttazzo, Giuseppe 10 2005 On the optimal reinforcement of an elastic membrane. Zbl 1092.49027Buttazzo, Giuseppe; Varchon, Nicolas 8 2005 Transport density in Monge-Kantorovich problems with Dirichlet conditions. Zbl 1094.49028Buttazzo, Giuseppe; Stepanov, Eugene 2 2005 \(\Gamma\) convergence of Hausdorff measures. Zbl 1106.49022Buttazzo, G.; Schweizer, B. 2 2005 Minimization problems for average distance functionals. Zbl 1089.49040Buttazzo, Giuseppe; Stepanov, Eugene 9 2004 Optimal Riemannian distances preventing mass transfer. Zbl 1077.49032Buttazzo, 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 1013.00028Ambrosio, Luigi; Brenier, Yann; Buttazzo, Giusseppe; Caffarelli, Luis A.; Villani, Cédric 55 2003 Optimal transportation networks as free Dirichlet for the Monge-Kantorovich problem. Zbl 1127.49031Buttazzo, Giuseppe; Stepanov, Eugene 28 2003 A \(p\)-Laplacian approximation for some mass optimization problems. Zbl 1040.49040Bouchitté, G.; Buttazzo, G.; De Pascale, L. 23 2003 On regularity of transport density in the Monge–Kantorovich problem. Zbl 1084.49036Buttazzo, Giuseppe; Stepanov, Eugene 5 2003 Optimal shapes and masses, and optimal transportation problems. Zbl 1087.49033Buttazzo, Giuseppe; De Pascale, Luigi 3 2003 Optimal transportation problems with free Dirichlet regions. Zbl 1055.49029Buttazzo, Giuseppe; Oudet, Edouard; Stepanov, Eugene 34 2002 The class of functionals which can be represented by a supremum. Zbl 1012.49010Acerbi, Emilio; Buttazzo, Giuseppe; Prinari, Francesca 11 2002 Riemannian approximation of Finsler metrics. Zbl 1032.49020Braides, Andrea; Buttazzo, Giuseppe; Fragalà, Ilaria 8 2002 Variational methods in some shape optimization problems. Zbl 1066.49026Bucur, Dorin; Buttazzo, Giuseppe 7 2002 On the problem of optimal cutting. Zbl 1028.49033Bucur, Dorin; Buttazzo, Giuseppe; Varchon, Nicolas 4 2002 On the relaxation of some optimal partition problems. Zbl 1063.49012Buttazzo, Giuseppe; Timofte, Claudia 4 2002 Bounds for the effective coefficients of homogenized low-dimensional structures. Zbl 1216.74016Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 2 2002 Characterization of optimal shapes and masses through Monge-Kantorovich equation. Zbl 0982.49025Bouchitté, Guy; Buttazzo, Guiseppe 63 2001 Convergence of Sobolev spaces on varying manifolds. Zbl 1055.49009Bouchitté, Guy; Buttazzo, Giuseppe; Fragalà, Ilaria 9 2001 Topological equivalence of some variational problems involving distances. Zbl 1025.49013Buttazzo, Giuseppe; De Pascale, Luigi; Fragalà, Ilaria 6 2001 On the optimal shape of a rigid body supported by an elastic membrane. Zbl 0941.49023Buttazzo, Giuseppe; Wagner, Alfred 2 2000 On the attainable eigenvalues of the Laplace operator. Zbl 0920.35099Bucur, Dorin; Buttazzo, Giuseppe; Figueiredo, Isabel 13 1999 An existence result for optimal obstacles. Zbl 0920.49008Bucur, Dorin; Buttazzo, Giuseppe; Trebeschi, Paola 3 1999 Relaxed optimal control problems and applications to shape optimization. (Notes taken by Lorenzo Freddi). Zbl 0988.49007Buttazzo, Giuseppe 1 1999 One-dimensional variational problems. An introduction. Zbl 0915.49001Buttazzo, Giuseppe; Giaquinta, Mariano; Hildebrandt, Stefan 123 1998 Existence results for some optimal partition problems. Zbl 0915.49006Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine 37 1998 Critical points for nonsmooth energy functions and applications. Zbl 0940.49019Adly, Samir; Buttazzo, Giuseppe; Théra, Michel 3 1998 On the existence of minimizing domains for some shape optimization problems. Zbl 0948.49022Buttazzo, Giuseppe 1 1998 ...and 69 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,170 Authors 74 Buttazzo, Giuseppe 31 Bucur, Dorin 31 Dal Maso, Gianni 28 Santambrogio, Filippo 24 Bouchitté, Guy 22 Fragalà, Ilaria 20 Velichkov, Bozhidar 18 Braides, Andrea 18 Kogut, Peter I. 18 Zappale, Elvira 16 Attouch, Hedy 16 Hintermüller, Michael 15 Papageorgiou, Nikolaos S. 15 Pimenta, Marcos T. O. 14 Percivale, Danilo 14 Wachsmuth, Gerd 13 De Arcangelis, Riccardo 13 Igbida, Noureddine 13 Mariconda, Carlo 13 van den Berg, Michiel 13 Wirth, Benedikt 12 Brasco, Lorenzo 12 Crasta, Graziano 12 De Pascale, Luigi 12 Fonseca, Irene 11 Chambolle, Antonin 11 Mandallena, Jean-Philippe 11 Nazarov, Sergeĭ Aleksandrovich 11 Pratelli, Aldo 11 Tomarelli, Franco 10 Ambrosio, Luigi 10 Brancolini, Alessio 10 Casado-Díaz, Juan 10 Christof, Constantin 10 Leugering, Günter 10 Maddalena, Francesco 10 Mazzoleni, Dario 10 Rossi, Julio Daniel 10 Sychev, Mikhail A. 10 Terracini, Susanna 10 Trombetti, Cristina 9 Bartels, Sören 9 Bergounioux, Maïtine 9 Bogoşel, Beniamin 9 Freddi, Lorenzo 9 Granieri, Luca 9 Kupenko, Olha P. 9 Paroni, Roberto 9 Prinari, Francesca 9 Stepanov, Eugene 9 Surowiec, Thomas 8 Briane, Marc 8 Goeleven, Daniel 8 Henrot, Antoine 8 Lamboley, Jimmy 8 Malusa, Annalisa 8 Manzo, Rosanna 8 Marigonda, Antonio 8 Michaille, Gérard 8 Mora, Maria Giovanna 8 Müller, Stefan 8 Nitsch, Carlo 8 Rautenberg, Carlos N. 8 Treu, Giulia 7 Adly, Samir 7 Amar, Micol 7 Antil, Harbir 7 Anza Hafsa, Omar 7 Auchmuty, Giles 7 Carlier, Guillaume 7 Chadli, Ouayl 7 Figueiredo, Giovany Malcher 7 Garcke, Harald 7 Gaudiello, Antonio 7 Giacomini, Alessandro 7 Gratwick, Richard 7 Helffer, Bernard 7 Jimenez, Chloé 7 Kouri, Drew P. 7 Lamberti, Pier Domenico 7 Le, Vy Khoi 7 López, Ruben 7 Murat, François 7 Oudet, Edouard 7 Peyré, Gabriel 7 Privat, Yannick 7 Slepčev, Dejan 7 Yan, Jun 7 Zhu, Shengfeng 7 Zuazua, Enrique 7 Zucco, Davide 6 Allaire, Grégoire 6 Alves, Claudianor Oliveira 6 Barroso, Ana Cristina 6 Bellettini, Giovanni 6 Capitanelli, Raffaela 6 Clason, Christian 6 Conti, Sergio 6 Crismale, Vito 6 Davini, Andrea ...and 2,070 more Authors all top 5 Cited in 323 Serials 119 Calculus of Variations and Partial Differential Equations 91 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 60 Archive for Rational Mechanics and Analysis 60 Journal of Differential Equations 56 Journal of Mathematical Analysis and Applications 53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 53 Journal de Mathématiques Pures et Appliquées. Neuvième Série 52 Journal of Optimization Theory and Applications 42 Annali di Matematica Pura ed Applicata. Serie Quarta 38 Applied Mathematics and Optimization 37 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 36 SIAM Journal on Mathematical Analysis 33 Journal of Functional Analysis 27 Journal of Elasticity 25 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 24 Discrete and Continuous Dynamical Systems 23 Advances in Calculus of Variations 22 Transactions of the American Mathematical Society 21 Computer Methods in Applied Mechanics and Engineering 20 Proceedings of the American Mathematical Society 20 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 20 Journal of Convex Analysis 20 Nonlinear Analysis. 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Matematica e Applicazioni 11 Journal of Global Optimization 11 Communications in Contemporary Mathematics 10 International Journal for Numerical Methods in Engineering 10 Nonlinear Analysis. Real World Applications 10 Structural and Multidisciplinary Optimization 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Inverse Problems and Imaging 10 SIAM Journal on Imaging Sciences 10 Discrete and Continuous Dynamical Systems. Series S 9 Inverse Problems 9 Journal d’Analyse Mathématique 9 Mathematical Methods in the Applied Sciences 9 Computational Optimization and Applications 9 SIAM Journal on Scientific Computing 8 Journal of Computational Physics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Quarterly of Applied Mathematics 8 Potential Analysis 8 Interfaces and Free Boundaries 8 Journal of the European Mathematical Society (JEMS) 7 Journal of Computational and Applied Mathematics 7 Manuscripta Mathematica 7 Numerical Functional Analysis and Optimization 7 Zeitschrift für Analysis und ihre Anwendungen 7 Acta Applicandae Mathematicae 7 Asymptotic Analysis 7 Journal of Nonlinear Science 7 Continuum Mechanics and Thermodynamics 7 Mathematical Control and Related Fields 6 Communications in Mathematical Physics 6 Mathematics of Computation 6 Advances in Mathematics 6 Applied Mathematics and Computation 6 RAIRO. Modélisation Mathématique et Analyse Numérique 6 Applied Mathematics Letters 6 Electronic Journal of Differential Equations (EJDE) 6 St. Petersburg Mathematical Journal 6 European Journal of Mechanics. A. Solids 6 Discrete and Continuous Dynamical Systems. Series B 6 Advanced Nonlinear Studies 6 Milan Journal of Mathematics 6 Analysis and Applications (Singapore) 6 Networks and Heterogeneous Media 6 Journal de l’École Polytechnique – Mathématiques 5 Duke Mathematical Journal 5 Integral Equations and Operator Theory 5 Mathematische Annalen 5 Rendiconti del Seminario Matemàtico e Fisico di Milano 5 Siberian Mathematical Journal 5 European Journal of Applied Mathematics 5 Bulletin des Sciences Mathématiques 5 Vietnam Journal of Mathematics 5 Revista Matemática Complutense 5 Journal of Evolution Equations 5 Advances in Nonlinear Analysis 5 Journal of Elliptic and Parabolic Equations 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences ...and 223 more Serials all top 5 Cited in 53 Fields 1,178 Calculus of variations and optimal control; optimization (49-XX) 866 Partial differential equations (35-XX) 383 Mechanics of deformable solids (74-XX) 244 Numerical analysis (65-XX) 189 Operations research, mathematical programming (90-XX) 107 Operator theory (47-XX) 102 Functional analysis (46-XX) 94 Real functions (26-XX) 78 Probability theory and stochastic processes (60-XX) 74 Global analysis, analysis on manifolds (58-XX) 70 Ordinary differential equations (34-XX) 67 Measure and integration (28-XX) 62 Computer science (68-XX) 58 Fluid mechanics (76-XX) 57 Differential geometry (53-XX) 57 Information and communication theory, circuits (94-XX) 54 Systems theory; control (93-XX) 50 Convex and discrete geometry (52-XX) 48 Biology and other natural sciences (92-XX) 46 Dynamical systems and ergodic theory (37-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Statistical mechanics, structure of matter (82-XX) 32 Potential theory (31-XX) 27 Mechanics of particles and systems (70-XX) 26 General topology (54-XX) 22 Classical thermodynamics, heat transfer (80-XX) 21 Optics, electromagnetic theory (78-XX) 18 Statistics (62-XX) 17 Integral equations (45-XX) 15 Approximations and expansions (41-XX) 15 Quantum theory (81-XX) 11 Functions of a complex variable (30-XX) 10 Geometry (51-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Combinatorics (05-XX) 6 History and biography (01-XX) 5 General and overarching topics; collections (00-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Relativity and gravitational theory (83-XX) 3 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geophysics (86-XX) 2 Algebraic geometry (14-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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