Edit Profile (opens in new tab) Dacorogna, Bernard Compute Distance To: Compute Author ID: dacorogna.bernard Published as: Dacorogna, Bernard; Dacorogna, B. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 124 Publications since 1981, including 14 Books 3 Contributions as Editor · 1 Further Contribution Co-Authors: 56 Co-Authors with 96 Joint Publications 1,415 Co-Co-Authors all top 5 Co-Authors 32 single-authored 23 Marcellini, Paolo 11 Kneuss, Olivier 9 Gangbo, Wilfrid 7 Bandyopadhyay, Saugata 7 Paolini, Emanuele 7 Tanteri, Chiara 6 Fonseca, Irene 5 Csató, Gyula 4 Arditi, Roger 3 Boccardo, Lucio 3 Fusco, Nicola 3 Haeberly, Jean-Pierre A. 3 Ribeiro, Ana Margarida 2 Botteron, Bernard 2 Carlier, Guillaume 2 Glowinski, Roland 2 Maréchal, Pierre 2 Mingione, Giuseppe 2 Pan, Tsorng-Whay 2 Pisante, Giovanni 2 Sil, Swarnendu 1 Alibert, Jean-Jacques 1 Ball, John MacLeod 1 Barroso, Ana Cristina 1 Basterrechea, S. 1 Bellettini, Giovanni 1 Bögelein, Verena 1 Buttazzo, Giuseppe 1 Cardaliaguet, Pierre 1 Charrier, Pierre 1 Croce, Gisella 1 Cupini, Giovanni 1 Došlý, Ondřej 1 Douchet, Jacques 1 Duzaar, Frank 1 Ferriero, Alessandro 1 Fusco, Giorgio 1 Georgy, Nicolas 1 Hanouzet, Bernard 1 Koshigoe, Hideyuki 1 Kuznetsov, Yurii Alekseevich 1 Leonetti, Francesco 1 Malý, Jan 1 Mascolo, Elvira 1 Cardoso Matias, José Carlos Pedro 1 Matveev, Vladimir S. 1 Moser, Jürgen K. 1 Müller, Stefan 1 Murat, François 1 Neves, Wladimir 1 Pfister, Charles-Edouard 1 Rappaz, Jacques 1 Scheven, Christoph 1 Strütt, David 1 Subia, Nelson 1 Šverák, Vladimír 1 Tartar, Luc C. 1 Trivisa, Konstantina 1 Troyanov, Marc 1 Weissbaum, François all top 5 Serials 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Calculus of Variations and Partial Differential Equations 5 Journal of Functional Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Archive for Rational Mechanics and Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Enseignement des Mathématiques (Lausanne) 3 Mathematical Biosciences 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Discrete and Continuous Dynamical Systems 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Lecture Notes in Mathematics 2 Journal of Mathematical Analysis and Applications 2 Transactions of the American Mathematical Society 2 SIAM Journal on Mathematical Analysis 2 Bollettino della Unione Matemàtica Italiana. Serie VII. B 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Advances in Differential Equations 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Discrete and Continuous Dynamical Systems. Series B 2 Applied Mathematical Sciences 2 Progress in Nonlinear Differential Equations and Their Applications 1 Communications on Pure and Applied Mathematics 1 Linear and Multilinear Algebra 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Archivum Mathematicum 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Numerical Functional Analysis and Optimization 1 Ricerche di Matematica 1 RAIRO. Modélisation Mathématique et Analyse Numérique 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 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Notices of the American Mathematical Society 1 Advances in Mathematical Sciences and Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Convex Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Portugaliae Mathematica. Nova Série 1 Advanced Nonlinear Studies 1 Cubo Matemática Educacional 1 Communications on Pure and Applied Analysis 1 GAMM-Mitteilungen 1 Cahiers Mathématiques de l’École Polytechnique Fédérale de Lausanne 1 Discrete and Continuous Dynamical Systems. Series S 1 Confluentes Mathematici all top 5 Fields 72 Calculus of variations and optimal control; optimization (49-XX) 64 Partial differential equations (35-XX) 16 Real functions (26-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Mechanics of deformable solids (74-XX) 12 Functional analysis (46-XX) 9 General and overarching topics; collections (00-XX) 9 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 6 Operations research, mathematical programming (90-XX) 5 Differential geometry (53-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functions of a complex variable (30-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 General topology (54-XX) 3 Numerical analysis (65-XX) 2 History and biography (01-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 2 Fluid mechanics (76-XX) 2 Mathematics education (97-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 108 Publications have been cited 2,194 times in 1,509 Documents Cited by ▼ Year ▼ Direct methods in the calculus of variations. Zbl 0703.49001Dacorogna, Bernard 547 1989 Direct methods in the calculus of variations. 2nd ed. Zbl 1140.49001Dacorogna, Bernard 343 2008 On a partial differential equation involving the Jacobian determinant. Zbl 0707.35041Dacorogna, Bernard; Moser, Jürgen 128 1990 Weak continuity and weak lower semi-continuity of non-linear functionals. Zbl 0484.46041Dacorogna, Bernard 106 1982 Implicit partial differential equations. Zbl 0938.35002Dacorogna, Bernard; Marcellini, Paolo 95 1999 Quasiconvexity and relaxation of nonconvex problems in the calculus of variations. Zbl 0547.49003Dacorogna, B. 80 1982 General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027Dacorogna, Bernard; Marcellini, Paolo 65 1997 The pullback equation for differential forms. Zbl 1247.58003Csató, Gyula; Dacorogna, Bernard; Kneuss, Olivier 54 2012 Introduction to the calculus of variations. Transl. from the French. Zbl 1095.49002Dacorogna, Bernard 41 2004 Weak continuity and weak lower semi-continuity of nonlinear functionals. Zbl 0676.46035Dacorogna, B. 37 1989 An example of a quasiconvex function that is not polyconvex in two dimensions. Zbl 0761.26009Alibert, Jean-Jacques; Dacorogna, Bernard 34 1992 Wulff theorem and best constant in Sobolev inequality. Zbl 0676.46031Dacorogna, Bernard; Pfister, Charles-Edouard 29 1992 Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension. Zbl 1055.35045Dacorogna, Bernard 27 2001 A relaxation theorem and its application to the equilibrium of gases. Zbl 0492.49002Dacorogna, B. 26 1981 Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants. (Semicontinuity for polyconvex integrands without continuity of determinants). Zbl 0723.49007Dacorogna, Bernard; Marcellini, Paolo 19 1990 Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002Dacorogna, Bernard; Marcellini, Paolo 19 1995 Cauchy-Dirichlet problem for first order nonlinear systems. Zbl 0911.35034Dacorogna, Bernard 19 1998 Sur une généralisation de l’inégalité de Wirtinger. (A generalization of Wirtinger’s inequality). Zbl 0764.49009Dacorogna, B.; Gangbo, W.; Subía, N. 18 1992 On a generalized Wirtinger inequality. Zbl 1055.49033Croce, Gisella; Dacorogna, Bernard 17 2003 Some examples of rank one convex functions in dimension two. Zbl 0722.49018Dacorogna, B.; Douchet, J.; Gangbo, W.; Rappaz, J. 16 1990 Manifold constrained variational problems. Zbl 0935.49006Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K. 16 1999 An existence theorem for slightly compressible materials in nonlinear elasticity. Zbl 0668.73015Charrier, P.; Dacorogna, B.; Hanouzet, B.; Laborde, P. 14 1988 Origami and partial differential equations. Zbl 1328.00022Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 13 2010 On the different notions of convexity for rotationally invariant functions. Zbl 0828.49016Dacorogna, Bernard; Koshigoe, Hideyuki 13 1993 \(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022Dacorogna, Bernard; Fonseca, Irene 13 2002 Introduction to the calculus of variations. (Introduction au calcul des variations.) Zbl 0757.49001Dacorogna, Bernard 12 1992 A general existence theorem for differential inclusions in the vector valued case. Zbl 1107.49008Dacorogna, B.; Pisante, G. 12 2005 Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042Dacorogna, B.; Marcellini, P.; Paolini, E. 12 2008 On the optimality of certain Sobolev exponents for the weak continuity of determinants. Zbl 0769.46025Dacorogna, B.; Murat, F. 11 1992 Existence theorems for Hamilton-Jacobi equations in the scalar and the vectorial cases. (Théorèmes d’existence dans les cas scalaire et vectoriel pour les équations de Hamilton-Jacobi.) Zbl 0846.35028Dacorogna, Bernard; Marcellini, Paolo 11 1996 Optimal transport of closed differential forms for convex costs. (Transport optimal des formes fermées pour des coûts convexes.) Zbl 1334.49142Dacorogna, Bernard; Gangbo, Wilfrid; Kneuss, Olivier 10 2015 A counterexample in the vectorial calculus of variations. Zbl 0641.49007Dacorogna, Bernard; Marcellini, Paolo 10 1988 Calculus of variations with differential forms. Zbl 1317.49015Bandyopadhyay, Saugata; Dacorogna, Bernard; Sil, Swarnendu 9 2015 Cauchy-Dirichlet problem for first order nonlinear systems. (Sur le problème de Cauchy-Dirichlet pour les systèmes d’ équations non linéaires du premier ordre.) Zbl 0860.35020Dacorogna, Bernard; Marcellini, Paolo 9 1996 On the solvability of the equation \( \text{div} \, u=f\) in \(L^1\) and in \(C^0\). Zbl 1225.35050Dacorogna, Bernard; Fusco, Nicola; Tartar, Luc 9 2003 Existence and non-existence results for non-coercive variational problems and applications in ecology. Zbl 0714.49002Botteron, Bernard; Dacorogna, Bernard 9 1990 The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity. Zbl 1152.26012Dacorogna, Bernard; Maréchal, P. 9 2008 An explicit solution to a system of implicit differential equations. Zbl 1141.35014Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 9 2008 Existence and regularity of solutions of \(d\omega=f\) with Dirichlet boundary conditions. Zbl 1148.35306Dacorogna, Bernard 9 2002 Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N. 9 1999 Integral convexity and parabolic systems. Zbl 07190065Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 8 2020 Remarques sur les notions de polyconvexité, quasi-convexité et convexité de rang 1. (Remarks on polyconvexity, quasi-convexity and rank 1 convexity). Zbl 0609.49007Dacorogna, B. 8 1985 Introduction to the calculus of variations. Transl. from the French. 3rd ed. Zbl 1298.49001Dacorogna, Bernard 8 2014 Existence of solutions for a variational problem associated to models in optimal foraging theory. Zbl 0717.49002Botteron, Bernard; Dacorogna, Bernard 8 1990 On the pullback equation \(\varphi ^*(g)=f\). Zbl 1194.35106Bandyopadhyay, S.; Dacorogna, B. 8 2009 Some numerical methods for the study of the convexity notions arising in the calculus of variations. Zbl 0905.65075Dacorogna, Bernard; Haeberly, Jean-Pierre 8 1998 On non quasiconvex problems of the calculus of variations. Zbl 1091.49003Dacorogna, Bernard; Pisante, Giovanni; Ribeiro, Ana Margarida 8 2005 On the equation \(\det\nabla{u}=f\) with no sign hypothesis. Zbl 1180.35169Cupini, G.; Dacorogna, Bernard; Kneuss, O. 8 2009 On the best constant in Gaffney inequality. Zbl 1407.58002Csato, G.; Dacorogna, B.; Sil, S. 7 2018 On the different convex hulls of sets involving singular values. Zbl 0915.15024Dacorogna, B.; Tanteri, C. 7 1998 A minimization problem involving variation of the domain. Zbl 0772.49005Dacorogna, Bernard; Fonseca, Irene 6 1992 Nonconvex problems of the calculus of variations and differential inclusions. Zbl 1101.35001Dacorogna, Bernard 6 2005 On the envelopes of functions depending on singular values of matrices. Zbl 0803.49014Buttazzo, G.; Dacorogna, B.; Gangbo, W. 6 1994 Transportation of closed differential forms with non-homogeneous convex costs. Zbl 1497.49054Dacorogna, Bernard; Gangbo, Wilfrid 5 2018 A characterization of pseudo-monotone differential operators in divergence form. Zbl 0562.47041Boccardo, L.; Dacorogna, B. 5 1984 Optimal foraging in nonpatchy habitats. I. Bounded one-dimensional resource. Zbl 0577.92023Arditi, Roger; Dacorogna, Bernard 5 1985 Optimal foraging in nonpatchy habitats, II: Unbounded one-dimensional habitat. Zbl 0632.92023Arditi, Roger; Dacorogna, Bernard 5 1987 Convexity of certain integrals of the calculus of variations. Zbl 0695.49013Dacorogna, B. 5 1987 Numerical methods for the solution of a system of eikonal equations with Dirichlet boundary conditions. Zbl 1028.65119Dacorogna, Bernard; Glowinski, Roland; Pan, Tsorng-Whay 5 2003 Extension theorems for vector valued maps. Zbl 1101.46016Dacorogna, Bernard; Gangbo, Wilfrid 5 2006 Solution of the Dirichlet problem for the prescribed Jacobian equation using the Monge-Ampère equation. (Résolution du problème de Dirichlet pour l’équation du Jacobien prescrit via l’équation de Monge-Ampère.) Zbl 1243.35038Carlier, Guillaume; Dacorogna, Bernard 5 2012 Symplectic factorization, Darboux theorem and ellipticity. Zbl 1476.58037Dacorogna, B.; Gangbo, W.; Kneuss, O. 5 2018 An identity involving exterior derivatives and applications to Gaffney inequality. Zbl 1247.58002Csató, Gyula; Dacorogna, Bernard 5 2012 On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023Dacorogna, Bernard; Marcellini, Paolo 5 1999 Absolute minimizers for some ferromagnetic energies. (Minima absolus pour des énergies ferromagnétiques.) Zbl 0965.49015Dacorogna, Bernard; Fonseca, Irene 5 2000 On the \(n\)-dimensional Dirichlet problem for isometric maps. Zbl 1160.35374Dacorogna, B.; Marcellini, P.; Paolini, E. 5 2008 Convexity of certain integrals of the calculus of variations. II. Zbl 0821.49016Dacorogna, Bernard 4 1990 Existence of solutions for Jacobian and Hessian equations under smallness assumptions. Zbl 1304.35013Basterrechea, S.; Dacorogna, B. 4 2014 Differential inclusions for differential forms. Zbl 1136.49006Bandyopadhyay, Saugata; Barroso, Ana Cristina; Dacorogna, Bernard; Matias, José 4 2007 The second order pullback equation. Zbl 1391.58002Csató, G.; Dacorogna, B.; Kneuss, O. 4 2014 Introduction to the calculus of variations. Transl. from the French. 2nd ed. Zbl 1159.49001Dacorogna, Bernard 4 2008 The pullback equation for degenerate forms. Zbl 1270.35197Bandyopadhyay, Saugata; Dacorogna, Bernard; Kneuss, Olivier 4 2010 Functions with orthogonal Hessian. Zbl 1240.35073Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 4 2010 Convex \(\mathrm{SO}(N) \times \mathrm{SO}(n)\)-invariant functions and refinements of von Neumann’s inequality. Zbl 1157.15022Dacorogna, Bernard; Maréchal, Pierre 4 2007 On a conjugate gradient/Newton/penalty method for the solution of an eikonal system with Dirichlet boundary conditions. Zbl 1060.65610Dacorogna, Bernard; Glowinski, Roland; Kuznetsov, Yuri; Pan, Tsorng-Whay 4 2004 Semi-continuité des fonctionnelles avec contraintes du type ”det \(\nabla u>0''\). Zbl 0564.49005Dacorogna, B.; Fusco, N. 3 1985 Implicit partial differential equations and the constraints of nonlinear elasticity. Zbl 1068.74007Dacorogna, Bernard; Tanteri, Chiara 3 2002 A Dirichlet problem involving the divergence operator. Zbl 1338.35106Csató, G.; Dacorogna, Bernard 3 2016 On convexity properties of homogeneous functions of degree one. Zbl 0895.49002Dacorogna, Bernard; Haeberly, Jean-Pierre 3 1996 Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007Dacorogna, Bernard; Marcellini, Paolo 3 2004 Existence of solutions for some implicit partial differential equations and applications to variational integrals involving quasi-affine functions. Zbl 1080.35181Dacorogna, Bernard; Ribeiro, Ana Margarida 3 2004 On a nonlinear problem for divergence and the determinant. (Sur un problème non linéaire pour la divergence et le déterminant.) Zbl 1356.58005Dacorogna, B. 3 2015 Quasiconvexity and relaxation in optimal transportation of closed differential forms. Zbl 1470.74012Dacorogna, Bernard; Gangbo, Wilfrid 2 2019 Some new results on differential inclusions for differential forms. Zbl 1319.35314Bandyopadhyay, Saugata; Dacorogna, Bernard; Kneuss, Olivier 2 2015 The two well problem for piecewise affine maps. Zbl 1258.35061Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 2 2012 Some remarks on the Lie derivative and the pullback equation for contact forms. Zbl 1360.35043Dacorogna, Bernard; Kneuss, Olivier; Neves, Wladimir 2 2017 Minimal hypersurfaces problems in parametric form with nonconvex integrands. Zbl 0465.53038Dacorogna, B. 2 1982 A global version of the Darboux theorem with optimal regularity and Dirichlet condition. Zbl 1227.35132Dacorogna, B.; Kneuss, O. 2 2011 Implicit type equations with constraints. (Équations de type implicite avec contraintes.) Zbl 0960.35004Dacorogna, Bernard; Marcellini, Paolo; Tanteri, Chiara 2 2000 Remarks on a numerical study of convexity, quasiconvexity, and rank one convexity. Zbl 0898.49012Dacorogna, Bernard; Haeberly, Jean-Pierre 2 1996 Calculus of variations, implicit partial differential equations and microstructure. Zbl 1157.49003Dacorogna, Bernard 2 2006 A characterization of polyconvex, quasiconvex and rank one convex envelopes. Zbl 0665.49007Dacorogna, B. 2 1987 An introduction to implicit partial differential equations of the first order. Zbl 1071.35508Dacorogna, B. 2 2001 On the equation \(A \nabla u + \left( \nabla u\right)^t A = G\). Zbl 1437.35162Bandyopadhyay, S.; Dacorogna, B.; Strütt, D. 1 2020 Maximum sustainable yield of populations with continuous age-structure. Zbl 0749.92018Arditi, Roger; Dacorogna, Bernard 1 1992 The pullback equation. Zbl 1382.35078Dacorogna, Bernard 1 2017 Coercivity of integrals versus coercivity of integrands. Zbl 0866.49002Boccardo, L.; Dacorogna, B. 1 1995 Qualitative properties of Lipschitz solutions of eikonal type systems. Zbl 1115.35015Bellettini, Giovanni; Dacorogna, Bernard; Fusco, Giorgio; Leonetti, Francesco 1 2006 Implicit second order partial differential equations. Zbl 1003.35043Dacorogna, Bernard; Marcellini, Paolo 1 1997 Multiple Jacobian equations. Zbl 1304.35215Dacorogna, Bernard; Kneuss, Olivier 1 2014 Integral convexity and parabolic systems. Zbl 07190065Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 8 2020 On the equation \(A \nabla u + \left( \nabla u\right)^t A = G\). Zbl 1437.35162Bandyopadhyay, S.; Dacorogna, B.; Strütt, D. 1 2020 Quasiconvexity and relaxation in optimal transportation of closed differential forms. Zbl 1470.74012Dacorogna, Bernard; Gangbo, Wilfrid 2 2019 On the best constant in Gaffney inequality. Zbl 1407.58002Csato, G.; Dacorogna, B.; Sil, S. 7 2018 Transportation of closed differential forms with non-homogeneous convex costs. Zbl 1497.49054Dacorogna, Bernard; Gangbo, Wilfrid 5 2018 Symplectic factorization, Darboux theorem and ellipticity. Zbl 1476.58037Dacorogna, B.; Gangbo, W.; Kneuss, O. 5 2018 Some remarks on the Lie derivative and the pullback equation for contact forms. Zbl 1360.35043Dacorogna, Bernard; Kneuss, Olivier; Neves, Wladimir 2 2017 The pullback equation. Zbl 1382.35078Dacorogna, Bernard 1 2017 A Dirichlet problem involving the divergence operator. Zbl 1338.35106Csató, G.; Dacorogna, Bernard 3 2016 Optimal transport of closed differential forms for convex costs. (Transport optimal des formes fermées pour des coûts convexes.) Zbl 1334.49142Dacorogna, Bernard; Gangbo, Wilfrid; Kneuss, Olivier 10 2015 Calculus of variations with differential forms. Zbl 1317.49015Bandyopadhyay, Saugata; Dacorogna, Bernard; Sil, Swarnendu 9 2015 On a nonlinear problem for divergence and the determinant. (Sur un problème non linéaire pour la divergence et le déterminant.) Zbl 1356.58005Dacorogna, B. 3 2015 Some new results on differential inclusions for differential forms. Zbl 1319.35314Bandyopadhyay, Saugata; Dacorogna, Bernard; Kneuss, Olivier 2 2015 Introduction to the calculus of variations. Transl. from the French. 3rd ed. Zbl 1298.49001Dacorogna, Bernard 8 2014 Existence of solutions for Jacobian and Hessian equations under smallness assumptions. Zbl 1304.35013Basterrechea, S.; Dacorogna, B. 4 2014 The second order pullback equation. Zbl 1391.58002Csató, G.; Dacorogna, B.; Kneuss, O. 4 2014 Multiple Jacobian equations. Zbl 1304.35215Dacorogna, Bernard; Kneuss, Olivier 1 2014 The degenerate two well problem for piecewise affine maps. Zbl 1275.35081Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 1 2013 The pullback equation for differential forms. Zbl 1247.58003Csató, Gyula; Dacorogna, Bernard; Kneuss, Olivier 54 2012 Solution of the Dirichlet problem for the prescribed Jacobian equation using the Monge-Ampère equation. (Résolution du problème de Dirichlet pour l’équation du Jacobien prescrit via l’équation de Monge-Ampère.) Zbl 1243.35038Carlier, Guillaume; Dacorogna, Bernard 5 2012 An identity involving exterior derivatives and applications to Gaffney inequality. Zbl 1247.58002Csató, Gyula; Dacorogna, Bernard 5 2012 The two well problem for piecewise affine maps. Zbl 1258.35061Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 2 2012 A global version of the Darboux theorem with optimal regularity and Dirichlet condition. Zbl 1227.35132Dacorogna, B.; Kneuss, O. 2 2011 Divisibility in Grassmann algebra. Zbl 1250.15027Dacorogna, Bernard; Kneuss, Olivier 1 2011 Origami and partial differential equations. Zbl 1328.00022Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 13 2010 The pullback equation for degenerate forms. Zbl 1270.35197Bandyopadhyay, Saugata; Dacorogna, Bernard; Kneuss, Olivier 4 2010 Functions with orthogonal Hessian. Zbl 1240.35073Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 4 2010 On the pullback equation \(\varphi ^*(g)=f\). Zbl 1194.35106Bandyopadhyay, S.; Dacorogna, B. 8 2009 On the equation \(\det\nabla{u}=f\) with no sign hypothesis. Zbl 1180.35169Cupini, G.; Dacorogna, Bernard; Kneuss, O. 8 2009 Regularity and selecting principles for implicit ordinary differential equations. Zbl 1170.34007Dacorogna, Bernard; Ferriero, Alessandro 1 2009 Direct methods in the calculus of variations. 2nd ed. Zbl 1140.49001Dacorogna, Bernard 343 2008 Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042Dacorogna, B.; Marcellini, P.; Paolini, E. 12 2008 The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity. Zbl 1152.26012Dacorogna, Bernard; Maréchal, P. 9 2008 An explicit solution to a system of implicit differential equations. Zbl 1141.35014Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 9 2008 On the \(n\)-dimensional Dirichlet problem for isometric maps. Zbl 1160.35374Dacorogna, B.; Marcellini, P.; Paolini, E. 5 2008 Introduction to the calculus of variations. Transl. from the French. 2nd ed. Zbl 1159.49001Dacorogna, Bernard 4 2008 Differential inclusions for differential forms. Zbl 1136.49006Bandyopadhyay, Saugata; Barroso, Ana Cristina; Dacorogna, Bernard; Matias, José 4 2007 Convex \(\mathrm{SO}(N) \times \mathrm{SO}(n)\)-invariant functions and refinements of von Neumann’s inequality. Zbl 1157.15022Dacorogna, Bernard; Maréchal, Pierre 4 2007 Extension theorems for vector valued maps. Zbl 1101.46016Dacorogna, Bernard; Gangbo, Wilfrid 5 2006 Calculus of variations, implicit partial differential equations and microstructure. Zbl 1157.49003Dacorogna, Bernard 2 2006 Qualitative properties of Lipschitz solutions of eikonal type systems. Zbl 1115.35015Bellettini, Giovanni; Dacorogna, Bernard; Fusco, Giorgio; Leonetti, Francesco 1 2006 A general existence theorem for differential inclusions in the vector valued case. Zbl 1107.49008Dacorogna, B.; Pisante, G. 12 2005 On non quasiconvex problems of the calculus of variations. Zbl 1091.49003Dacorogna, Bernard; Pisante, Giovanni; Ribeiro, Ana Margarida 8 2005 Nonconvex problems of the calculus of variations and differential inclusions. Zbl 1101.35001Dacorogna, Bernard 6 2005 Introduction to the calculus of variations. Transl. from the French. Zbl 1095.49002Dacorogna, Bernard 41 2004 On a conjugate gradient/Newton/penalty method for the solution of an eikonal system with Dirichlet boundary conditions. Zbl 1060.65610Dacorogna, Bernard; Glowinski, Roland; Kuznetsov, Yuri; Pan, Tsorng-Whay 4 2004 Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007Dacorogna, Bernard; Marcellini, Paolo 3 2004 Existence of solutions for some implicit partial differential equations and applications to variational integrals involving quasi-affine functions. Zbl 1080.35181Dacorogna, Bernard; Ribeiro, Ana Margarida 3 2004 On a generalized Wirtinger inequality. Zbl 1055.49033Croce, Gisella; Dacorogna, Bernard 17 2003 On the solvability of the equation \( \text{div} \, u=f\) in \(L^1\) and in \(C^0\). Zbl 1225.35050Dacorogna, Bernard; Fusco, Nicola; Tartar, Luc 9 2003 Numerical methods for the solution of a system of eikonal equations with Dirichlet boundary conditions. Zbl 1028.65119Dacorogna, Bernard; Glowinski, Roland; Pan, Tsorng-Whay 5 2003 \(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022Dacorogna, Bernard; Fonseca, Irene 13 2002 Existence and regularity of solutions of \(d\omega=f\) with Dirichlet boundary conditions. Zbl 1148.35306Dacorogna, Bernard 9 2002 Implicit partial differential equations and the constraints of nonlinear elasticity. Zbl 1068.74007Dacorogna, Bernard; Tanteri, Chiara 3 2002 Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension. Zbl 1055.35045Dacorogna, Bernard 27 2001 An introduction to implicit partial differential equations of the first order. Zbl 1071.35508Dacorogna, B. 2 2001 Absolute minimizers for some ferromagnetic energies. (Minima absolus pour des énergies ferromagnétiques.) Zbl 0965.49015Dacorogna, Bernard; Fonseca, Irene 5 2000 Implicit type equations with constraints. (Équations de type implicite avec contraintes.) Zbl 0960.35004Dacorogna, Bernard; Marcellini, Paolo; Tanteri, Chiara 2 2000 Implicit partial differential equations. Zbl 0938.35002Dacorogna, Bernard; Marcellini, Paolo 95 1999 Manifold constrained variational problems. Zbl 0935.49006Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K. 16 1999 Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N. 9 1999 On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023Dacorogna, Bernard; Marcellini, Paolo 5 1999 Attainment of minima and implicit partial differential equations. Zbl 0939.49013Dacorogna, Bernard; Marcellini, Paolo 1 1999 Cauchy-Dirichlet problem for first order nonlinear systems. Zbl 0911.35034Dacorogna, Bernard 19 1998 Some numerical methods for the study of the convexity notions arising in the calculus of variations. Zbl 0905.65075Dacorogna, Bernard; Haeberly, Jean-Pierre 8 1998 On the different convex hulls of sets involving singular values. Zbl 0915.15024Dacorogna, B.; Tanteri, C. 7 1998 General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027Dacorogna, Bernard; Marcellini, Paolo 65 1997 Implicit second order partial differential equations. Zbl 1003.35043Dacorogna, Bernard; Marcellini, Paolo 1 1997 Dirichlet problem for nonlinear first order partial differential equations. Zbl 0882.35031Dacorogna, Bernard; Marcellini, Paolo 1 1997 Convexity of certain integrals of the calculus of variations. III. Zbl 0927.49015Dacorogna, B.; Došlý, O. 1 1997 Existence theorems for Hamilton-Jacobi equations in the scalar and the vectorial cases. (Théorèmes d’existence dans les cas scalaire et vectoriel pour les équations de Hamilton-Jacobi.) Zbl 0846.35028Dacorogna, Bernard; Marcellini, Paolo 11 1996 Cauchy-Dirichlet problem for first order nonlinear systems. (Sur le problème de Cauchy-Dirichlet pour les systèmes d’ équations non linéaires du premier ordre.) Zbl 0860.35020Dacorogna, Bernard; Marcellini, Paolo 9 1996 On convexity properties of homogeneous functions of degree one. Zbl 0895.49002Dacorogna, Bernard; Haeberly, Jean-Pierre 3 1996 Remarks on a numerical study of convexity, quasiconvexity, and rank one convexity. Zbl 0898.49012Dacorogna, Bernard; Haeberly, Jean-Pierre 2 1996 Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002Dacorogna, Bernard; Marcellini, Paolo 19 1995 Coercivity of integrals versus coercivity of integrands. Zbl 0866.49002Boccardo, L.; Dacorogna, B. 1 1995 On the envelopes of functions depending on singular values of matrices. Zbl 0803.49014Buttazzo, G.; Dacorogna, B.; Gangbo, W. 6 1994 Maximum sustainable yield with continuous age structure and density- dependent recruitment. Zbl 0793.92013Dacorogna, Bernard; Weissbaum, François; Arditi, Roger 1 1994 On the different notions of convexity for rotationally invariant functions. Zbl 0828.49016Dacorogna, Bernard; Koshigoe, Hideyuki 13 1993 An example of a quasiconvex function that is not polyconvex in two dimensions. Zbl 0761.26009Alibert, Jean-Jacques; Dacorogna, Bernard 34 1992 Wulff theorem and best constant in Sobolev inequality. Zbl 0676.46031Dacorogna, Bernard; Pfister, Charles-Edouard 29 1992 Sur une généralisation de l’inégalité de Wirtinger. (A generalization of Wirtinger’s inequality). Zbl 0764.49009Dacorogna, B.; Gangbo, W.; Subía, N. 18 1992 Introduction to the calculus of variations. (Introduction au calcul des variations.) Zbl 0757.49001Dacorogna, Bernard 12 1992 On the optimality of certain Sobolev exponents for the weak continuity of determinants. Zbl 0769.46025Dacorogna, B.; Murat, F. 11 1992 A minimization problem involving variation of the domain. Zbl 0772.49005Dacorogna, Bernard; Fonseca, Irene 6 1992 Maximum sustainable yield of populations with continuous age-structure. Zbl 0749.92018Arditi, Roger; Dacorogna, Bernard 1 1992 On a partial differential equation involving the Jacobian determinant. Zbl 0707.35041Dacorogna, Bernard; Moser, Jürgen 128 1990 Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants. (Semicontinuity for polyconvex integrands without continuity of determinants). Zbl 0723.49007Dacorogna, Bernard; Marcellini, Paolo 19 1990 Some examples of rank one convex functions in dimension two. Zbl 0722.49018Dacorogna, B.; Douchet, J.; Gangbo, W.; Rappaz, J. 16 1990 Existence and non-existence results for non-coercive variational problems and applications in ecology. Zbl 0714.49002Botteron, Bernard; Dacorogna, Bernard 9 1990 Existence of solutions for a variational problem associated to models in optimal foraging theory. Zbl 0717.49002Botteron, Bernard; Dacorogna, Bernard 8 1990 Convexity of certain integrals of the calculus of variations. II. Zbl 0821.49016Dacorogna, Bernard 4 1990 Direct methods in the calculus of variations. Zbl 0703.49001Dacorogna, Bernard 547 1989 Weak continuity and weak lower semi-continuity of nonlinear functionals. Zbl 0676.46035Dacorogna, B. 37 1989 Monotonicity of certain differential operators in divergence form. Zbl 0718.47026Boccardo, L.; Dacorogna, B. 1 1989 An existence theorem for slightly compressible materials in nonlinear elasticity. Zbl 0668.73015Charrier, P.; Dacorogna, B.; Hanouzet, B.; Laborde, P. 14 1988 A counterexample in the vectorial calculus of variations. Zbl 0641.49007Dacorogna, Bernard; Marcellini, Paolo 10 1988 Optimal foraging in nonpatchy habitats, II: Unbounded one-dimensional habitat. Zbl 0632.92023Arditi, Roger; Dacorogna, Bernard 5 1987 Convexity of certain integrals of the calculus of variations. Zbl 0695.49013Dacorogna, B. 5 1987 A characterization of polyconvex, quasiconvex and rank one convex envelopes. Zbl 0665.49007Dacorogna, B. 2 1987 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,525 Authors 53 Dacorogna, Bernard 40 Pedregal, Pablo 31 Fonseca, Irene 25 Conti, Sergio 24 Marcellini, Paolo 23 Yan, Baisheng 22 Zhang, Kewei 21 Katzourakis, Nikolaos I. 20 Kružík, Martin 18 Müller, Stefan 14 Kristensen, Jan 14 Neff, Patrizio 13 Carstensen, Carsten 13 Miehe, Christian 12 Dolzmann, Georg 12 Mandallena, Jean-Philippe 12 Ortiz, Michael 12 Šilhavý, Miroslav 12 Sychev, Mikhail A. 11 Kreisbeck, Carolin 11 Li, Zhiping 11 Osmolovskij, V. G. 11 Zagatti, Sandro 10 Anza Hafsa, Omar 10 Gangbo, Wilfrid 10 Grabovsky, Yury 10 Kneuss, Olivier 10 Mielke, Alexander 10 Mora-Corral, Carlos 10 Zappale, Elvira 9 Bandyopadhyay, Saugata 9 Briane, Marc 9 DeSimone, Antonio 9 Faraco, Daniel 9 Fusco, Nicola 9 Hackl, Klaus 9 Kim, Seonghak 9 Kohn, Robert Vita 9 Martin, Robert J. 9 Rindler, Filip 8 Chipot, Michel 8 Dal Maso, Gianni 8 Ghiba, Ionel-Dumitrel 8 Krömer, Stefan 8 Malý, Jan 8 Michaille, Gérard 8 Scherzer, Otmar 8 Székelyhidi, László jun. 7 Barroso, Ana Cristina 7 Carlier, Guillaume 7 Croce, Gisella 7 Cupini, Giovanni 7 Francfort, Gilles A. 7 Glowinski, Roland 7 Henao, Duvan A. 7 Iwaniec, Tadeusz 7 Leoni, Giovanni 7 Schlömerkemper, Anja 7 Schmidt, Bernd 7 Sil, Swarnendu 7 Steigmann, David J. 7 Truskinovsky, Lev 6 Babadjian, Jean-François 6 Bellido, José Carlos 6 Bessa, Mário 6 Bevan, Jonathan J. 6 Caboussat, Alexandre 6 De Lellis, Camillo 6 Della Pietra, Francesco 6 Gil, Antonio J. 6 Guerra, André 6 Leonetti, Francesco 6 Mingione, Giuseppe 6 Pisante, Giovanni 6 Roubíček, Tomáš 6 Rüland, Angkana 6 Rumpf, Martin 6 Stefanelli, Ulisse 6 Voss, Jendrik 6 Wagner, Marcus M. 5 Amar, Micol 5 Barchiesi, Marco 5 Bellettini, Giovanni 5 Bhattacharya, Kaushik 5 Boccardo, Lucio 5 Bocea, Marian F. 5 Cardaliaguet, Pierre 5 Carozza, Menita 5 Csató, Gyula 5 Gao, David Yang 5 Giannetti, Flavia 5 Granieri, Luca 5 Harutyunyan, Davit 5 Kirchheim, Bernd 5 Knees, Dorothee 5 Lambrecht, Matthias 5 Le Dret, Hervé 5 Lindberg, Sauli 5 Marcelli, Cristina 5 Marigo, Jean-Jacques ...and 1,425 more Authors all top 5 Cited in 276 Serials 99 Archive for Rational Mechanics and Analysis 88 Calculus of Variations and Partial Differential Equations 70 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 56 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 47 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 42 Journal of Mathematical Analysis and Applications 40 Journal of Elasticity 33 Journal of the Mechanics and Physics of Solids 31 Computer Methods in Applied Mechanics and Engineering 29 Journal of Differential Equations 29 SIAM Journal on Mathematical Analysis 23 Journal of Optimization Theory and Applications 22 Journal of Functional Analysis 20 Continuum Mechanics and Thermodynamics 19 Journal de Mathématiques Pures et Appliquées. Neuvième Série 19 Mathematics and Mechanics of Solids 18 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Journal of Mathematical Sciences (New York) 17 Transactions of the American Mathematical Society 16 Journal of Nonlinear Science 15 NoDEA. Nonlinear Differential Equations and Applications 15 Advances in Calculus of Variations 13 Manuscripta Mathematica 13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 13 Nonlinear Analysis. Theory, Methods & Applications 12 Mathematical Methods in the Applied Sciences 12 Numerical Functional Analysis and Optimization 12 Proceedings of the American Mathematical Society 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Communications on Pure and Applied Mathematics 9 Applied Mathematics and Optimization 9 The Journal of Geometric Analysis 8 Applicable Analysis 8 Advances in Mathematics 8 International Journal for Numerical Methods in Engineering 8 Zeitschrift für Analysis und ihre Anwendungen 8 Chinese Annals of Mathematics. Series B 8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Numerische Mathematik 7 Applied Numerical Mathematics 7 SIAM Journal on Imaging Sciences 6 Communications in Mathematical Physics 6 Journal of Computational Physics 6 Rocky Mountain Journal of Mathematics 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Quarterly of Applied Mathematics 6 Communications in Partial Differential Equations 6 Bulletin of the American Mathematical Society. New Series 6 Discrete and Continuous Dynamical Systems 6 Journal of Fixed Point Theory and Applications 6 Set-Valued and Variational Analysis 5 Journal of Mathematical Physics 5 Journal of Statistical Physics 5 Inventiones Mathematicae 5 Rendiconti del Seminario Matematico della Università di Padova 5 SIAM Journal on Control and Optimization 5 Acta Applicandae Mathematicae 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 S\(\vec{\text{e}}\)MA Journal 4 International Journal of Engineering Science 4 Journal d’Analyse Mathématique 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Acta Mathematica 4 Journal of Computational and Applied Mathematics 4 Physica D 4 Revista Matemática Iberoamericana 4 Computational Mechanics 4 Applied Mathematics Letters 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Journal of Global Optimization 4 Journal of Mathematical Imaging and Vision 4 SIAM Journal on Scientific Computing 4 Nonlinear Analysis. Real World Applications 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Journal of Industrial and Management Optimization 3 Acta Mechanica 3 Computers & Mathematics with Applications 3 Inverse Problems 3 Mathematical Biosciences 3 Mathematics of Computation 3 Applied Mathematics and Computation 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Rendiconti del Seminario Matemàtico e Fisico di Milano 3 Ricerche di Matematica 3 SIAM Journal on Numerical Analysis 3 Siberian Mathematical Journal 3 Annals of Global Analysis and Geometry 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Optimization 3 Asymptotic Analysis 3 European Journal of Applied Mathematics 3 Journal of Dynamics and Differential Equations 3 Annales Mathématiques Blaise Pascal 3 Vietnam Journal of Mathematics 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series ...and 176 more Serials all top 5 Cited in 53 Fields 718 Calculus of variations and optimal control; optimization (49-XX) 554 Partial differential equations (35-XX) 494 Mechanics of deformable solids (74-XX) 121 Numerical analysis (65-XX) 110 Real functions (26-XX) 104 Functional analysis (46-XX) 56 Fluid mechanics (76-XX) 55 Statistical mechanics, structure of matter (82-XX) 53 Differential geometry (53-XX) 53 Global analysis, analysis on manifolds (58-XX) 49 Operator theory (47-XX) 48 Dynamical systems and ergodic theory (37-XX) 44 Operations research, mathematical programming (90-XX) 37 Ordinary differential equations (34-XX) 29 Biology and other natural sciences (92-XX) 27 Measure and integration (28-XX) 26 Computer science (68-XX) 25 Convex and discrete geometry (52-XX) 25 Optics, electromagnetic theory (78-XX) 23 Functions of a complex variable (30-XX) 23 Probability theory and stochastic processes (60-XX) 22 Information and communication theory, circuits (94-XX) 19 Mechanics of particles and systems (70-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Systems theory; control (93-XX) 11 General topology (54-XX) 10 Potential theory (31-XX) 8 Manifolds and cell complexes (57-XX) 8 Quantum theory (81-XX) 7 Statistics (62-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Approximations and expansions (41-XX) 5 History and biography (01-XX) 5 Several complex variables and analytic spaces (32-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral equations (45-XX) 3 Geophysics (86-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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