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Author ID: dacorogna.bernard Recent zbMATH articles by "Dacorogna, Bernard"
Published as: Dacorogna, Bernard; Dacorogna, B.
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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

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 2,087 times in 1,452 Documents Cited by Year
Direct methods in the calculus of variations. Zbl 0703.49001
Dacorogna, Bernard
534
1989
Direct methods in the calculus of variations. 2nd ed. Zbl 1140.49001
Dacorogna, Bernard
319
2008
On a partial differential equation involving the Jacobian determinant. Zbl 0707.35041
Dacorogna, Bernard; Moser, Jürgen
122
1990
Weak continuity and weak lower semi-continuity of non-linear functionals. Zbl 0484.46041
Dacorogna, Bernard
104
1982
Implicit partial differential equations. Zbl 0938.35002
Dacorogna, Bernard; Marcellini, Paolo
90
1999
Quasiconvexity and relaxation of nonconvex problems in the calculus of variations. Zbl 0547.49003
Dacorogna, B.
77
1982
General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027
Dacorogna, Bernard; Marcellini, Paolo
63
1997
The pullback equation for differential forms. Zbl 1247.58003
Csató, Gyula; Dacorogna, Bernard; Kneuss, Olivier
50
2012
Introduction to the calculus of variations. Transl. from the French. Zbl 1095.49002
Dacorogna, Bernard
40
2004
Weak continuity and weak lower semi-continuity of nonlinear functionals. Zbl 0676.46035
Dacorogna, B.
36
1989
An example of a quasiconvex function that is not polyconvex in two dimensions. Zbl 0761.26009
Alibert, Jean-Jacques; Dacorogna, Bernard
32
1992
Wulff theorem and best constant in Sobolev inequality. Zbl 0676.46031
Dacorogna, Bernard; Pfister, Charles-Edouard
29
1992
A relaxation theorem and its application to the equilibrium of gases. Zbl 0492.49002
Dacorogna, B.
26
1981
Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension. Zbl 1055.35045
Dacorogna, Bernard
23
2001
Cauchy-Dirichlet problem for first order nonlinear systems. Zbl 0911.35034
Dacorogna, Bernard
19
1998
Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants. (Semicontinuity for polyconvex integrands without continuity of determinants). Zbl 0723.49007
Dacorogna, Bernard; Marcellini, Paolo
19
1990
Sur une généralisation de l’inégalité de Wirtinger. (A generalization of Wirtinger’s inequality). Zbl 0764.49009
Dacorogna, B.; Gangbo, W.; Subía, N.
18
1992
Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002
Dacorogna, Bernard; Marcellini, Paolo
18
1995
Manifold constrained variational problems. Zbl 0935.49006
Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K.
16
1999
On a generalized Wirtinger inequality. Zbl 1055.49033
Croce, Gisella; Dacorogna, Bernard
16
2003
Some examples of rank one convex functions in dimension two. Zbl 0722.49018
Dacorogna, B.; Douchet, J.; Gangbo, W.; Rappaz, J.
15
1990
On the different notions of convexity for rotationally invariant functions. Zbl 0828.49016
Dacorogna, Bernard; Koshigoe, Hideyuki
13
1993
Introduction to the calculus of variations. (Introduction au calcul des variations.) Zbl 0757.49001
Dacorogna, Bernard
12
1992
\(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022
Dacorogna, Bernard; Fonseca, Irene
12
2002
An existence theorem for slightly compressible materials in nonlinear elasticity. Zbl 0668.73015
Charrier, P.; Dacorogna, B.; Hanouzet, B.; Laborde, P.
12
1988
On the optimality of certain Sobolev exponents for the weak continuity of determinants. Zbl 0769.46025
Dacorogna, B.; Murat, F.
11
1992
A general existence theorem for differential inclusions in the vector valued case. Zbl 1107.49008
Dacorogna, B.; Pisante, G.
11
2005
Origami and partial differential equations. Zbl 1328.00022
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
10
2010
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 0846.35028
Dacorogna, Bernard; Marcellini, Paolo
10
1996
Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042
Dacorogna, B.; Marcellini, P.; Paolini, E.
10
2008
Optimal transport of closed differential forms for convex costs. (Transport optimal des formes fermées pour des coûts convexes.) Zbl 1334.49142
Dacorogna, Bernard; Gangbo, Wilfrid; Kneuss, Olivier
9
2015
Existence and non-existence results for non-coercive variational problems and applications in ecology. Zbl 0714.49002
Botteron, Bernard; Dacorogna, Bernard
9
1990
On the solvability of the equation \( \text{div} \, u=f\) in \(L^1\) and in \(C^0\). Zbl 1225.35050
Dacorogna, Bernard; Fusco, Nicola; Tartar, Luc
9
2003
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 0860.35020
Dacorogna, Bernard; Marcellini, Paolo
9
1996
Existence and regularity of solutions of \(d\omega=f\) with Dirichlet boundary conditions. Zbl 1148.35306
Dacorogna, Bernard
9
2002
The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity. Zbl 1152.26012
Dacorogna, Bernard; Maréchal, P.
9
2008
Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021
Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N.
9
1999
Calculus of variations with differential forms. Zbl 1317.49015
Bandyopadhyay, Saugata; Dacorogna, Bernard; Sil, Swarnendu
9
2015
Remarques sur les notions de polyconvexité, quasi-convexité et convexité de rang 1. (Remarks on polyconvexity, quasi-convexity and rank 1 convexity). Zbl 0609.49007
Dacorogna, B.
8
1985
On the pullback equation \(\varphi ^*(g)=f\). Zbl 1194.35106
Bandyopadhyay, S.; Dacorogna, B.
8
2009
Existence of solutions for a variational problem associated to models in optimal foraging theory. Zbl 0717.49002
Botteron, Bernard; Dacorogna, Bernard
8
1990
An explicit solution to a system of implicit differential equations. Zbl 1141.35014
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
8
2008
Introduction to the calculus of variations. Transl. from the French. 3rd ed. Zbl 1298.49001
Dacorogna, Bernard
7
2014
Some numerical methods for the study of the convexity notions arising in the calculus of variations. Zbl 0905.65075
Dacorogna, Bernard; Haeberly, Jean-Pierre
7
1998
A minimization problem involving variation of the domain. Zbl 0772.49005
Dacorogna, Bernard; Fonseca, Irene
6
1992
On the best constant in Gaffney inequality. Zbl 1407.58002
Csato, G.; Dacorogna, B.; Sil, S.
6
2018
On the different convex hulls of sets involving singular values. Zbl 0915.15024
Dacorogna, B.; Tanteri, C.
6
1998
Nonconvex problems of the calculus of variations and differential inclusions. Zbl 1101.35001
Dacorogna, Bernard
6
2005
On the envelopes of functions depending on singular values of matrices. Zbl 0803.49014
Buttazzo, G.; Dacorogna, B.; Gangbo, W.
6
1994
A counterexample in the vectorial calculus of variations. Zbl 0641.49007
Dacorogna, Bernard; Marcellini, Paolo
6
1988
On non quasiconvex problems of the calculus of variations. Zbl 1091.49003
Dacorogna, Bernard; Pisante, Giovanni; Ribeiro, Ana Margarida
6
2005
Integral convexity and parabolic systems. Zbl 07190065
Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
6
2020
On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023
Dacorogna, Bernard; Marcellini, Paolo
5
1999
Transportation of closed differential forms with non-homogeneous convex costs. Zbl 06916253
Dacorogna, Bernard; Gangbo, Wilfrid
5
2018
Symplectic factorization, Darboux theorem and ellipticity. Zbl 1476.58037
Dacorogna, B.; Gangbo, W.; Kneuss, O.
5
2018
Convexity of certain integrals of the calculus of variations. Zbl 0695.49013
Dacorogna, B.
5
1987
A characterization of pseudo-monotone differential operators in divergence form. Zbl 0562.47041
Boccardo, L.; Dacorogna, B.
5
1984
Optimal foraging in nonpatchy habitats. I. Bounded one-dimensional resource. Zbl 0577.92023
Arditi, Roger; Dacorogna, Bernard
5
1985
Extension theorems for vector valued maps. Zbl 1101.46016
Dacorogna, Bernard; Gangbo, Wilfrid
5
2006
Absolute minimizers for some ferromagnetic energies. (Minima absolus pour des énergies ferromagnétiques.) Zbl 0965.49015
Dacorogna, Bernard; Fonseca, Irene
5
2000
Numerical methods for the solution of a system of eikonal equations with Dirichlet boundary conditions. Zbl 1028.65119
Dacorogna, Bernard; Glowinski, Roland; Pan, Tsorng-Whay
5
2003
An identity involving exterior derivatives and applications to Gaffney inequality. Zbl 1247.58002
Csató, Gyula; Dacorogna, Bernard
5
2012
Convexity of certain integrals of the calculus of variations. II. Zbl 0821.49016
Dacorogna, Bernard
4
1990
Optimal foraging in nonpatchy habitats, II: Unbounded one-dimensional habitat. Zbl 0632.92023
Arditi, Roger; Dacorogna, Bernard
4
1987
Differential inclusions for differential forms. Zbl 1136.49006
Bandyopadhyay, Saugata; Barroso, Ana Cristina; Dacorogna, Bernard; Matias, José
4
2007
The pullback equation for degenerate forms. Zbl 1270.35197
Bandyopadhyay, Saugata; Dacorogna, Bernard; Kneuss, Olivier
4
2010
Convex \(\mathrm{SO}(N) \times \mathrm{SO}(n)\)-invariant functions and refinements of von Neumann’s inequality. Zbl 1157.15022
Dacorogna, Bernard; Maréchal, Pierre
4
2007
On the equation \(\det\nabla{u}=f\) with no sign hypothesis. Zbl 1180.35169
Cupini, G.; Dacorogna, Bernard; Kneuss, O.
4
2009
Existence of solutions for Jacobian and Hessian equations under smallness assumptions. Zbl 1304.35013
Basterrechea, S.; Dacorogna, B.
4
2014
Introduction to the calculus of variations. Transl. from the French. 2nd ed. Zbl 1159.49001
Dacorogna, Bernard
4
2008
On the \(n\)-dimensional Dirichlet problem for isometric maps. Zbl 1160.35374
Dacorogna, B.; Marcellini, P.; Paolini, E.
4
2008
The second order pullback equation. Zbl 1391.58002
Csató, G.; Dacorogna, B.; Kneuss, O.
4
2014
On a nonlinear problem for divergence and the determinant. (Sur un problème non linéaire pour la divergence et le déterminant.) Zbl 1356.58005
Dacorogna, B.
3
2015
A Dirichlet problem involving the divergence operator. Zbl 1338.35106
Csató, G.; Dacorogna, Bernard
3
2016
Semi-continuité des fonctionnelles avec contraintes du type ”det \(\nabla u>0''\). Zbl 0564.49005
Dacorogna, B.; Fusco, N.
3
1985
Implicit partial differential equations and the constraints of nonlinear elasticity. Zbl 1068.74007
Dacorogna, Bernard; Tanteri, Chiara
3
2002
On convexity properties of homogeneous functions of degree one. Zbl 0895.49002
Dacorogna, Bernard; Haeberly, Jean-Pierre
3
1996
Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007
Dacorogna, Bernard; Marcellini, Paolo
3
2004
Existence of solutions for some implicit partial differential equations and applications to variational integrals involving quasi-affine functions. Zbl 1080.35181
Dacorogna, Bernard; Ribeiro, Ana Margarida
3
2004
Functions with orthogonal Hessian. Zbl 1240.35073
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
3
2010
On a conjugate gradient/Newton/penalty method for the solution of an eikonal system with Dirichlet boundary conditions. Zbl 1060.65610
Dacorogna, Bernard; Glowinski, Roland; Kuznetsov, Yuri; Pan, Tsorng-Whay
3
2004
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 1243.35038
Carlier, Guillaume; Dacorogna, Bernard
3
2012
Implicit type equations with constraints. (Équations de type implicite avec contraintes.) Zbl 0960.35004
Dacorogna, Bernard; Marcellini, Paolo; Tanteri, Chiara
2
2000
Minimal hypersurfaces problems in parametric form with nonconvex integrands. Zbl 0465.53038
Dacorogna, B.
2
1982
A characterization of polyconvex, quasiconvex and rank one convex envelopes. Zbl 0665.49007
Dacorogna, B.
2
1987
A global version of the Darboux theorem with optimal regularity and Dirichlet condition. Zbl 1227.35132
Dacorogna, B.; Kneuss, O.
2
2011
An introduction to implicit partial differential equations of the first order. Zbl 1071.35508
Dacorogna, B.
2
2001
Calculus of variations, implicit partial differential equations and microstructure. Zbl 1157.49003
Dacorogna, Bernard
2
2006
Some new results on differential inclusions for differential forms. Zbl 1319.35314
Bandyopadhyay, Saugata; Dacorogna, Bernard; Kneuss, Olivier
2
2015
Some remarks on the Lie derivative and the pullback equation for contact forms. Zbl 1360.35043
Dacorogna, Bernard; Kneuss, Olivier; Neves, Wladimir
2
2017
Quasiconvexity and relaxation in optimal transportation of closed differential forms. Zbl 1470.74012
Dacorogna, Bernard; Gangbo, Wilfrid
2
2019
Maximum sustainable yield of populations with continuous age-structure. Zbl 0749.92018
Arditi, Roger; Dacorogna, Bernard
1
1992
Attainment of minima and implicit partial differential equations. Zbl 0939.49013
Dacorogna, Bernard; Marcellini, Paolo
1
1999
Implicit second order partial differential equations. Zbl 1003.35043
Dacorogna, Bernard; Marcellini, Paolo
1
1997
Convexity of certain integrals of the calculus of variations. III. Zbl 0927.49015
Dacorogna, B.; Došlý, O.
1
1997
Multiple Jacobian equations. Zbl 1304.35215
Dacorogna, Bernard; Kneuss, Olivier
1
2014
Coercivity of integrals versus coercivity of integrands. Zbl 0866.49002
Boccardo, L.; Dacorogna, B.
1
1995
Monotonicity of certain differential operators in divergence form. Zbl 0718.47026
Boccardo, L.; Dacorogna, B.
1
1989
Maximum sustainable yield with continuous age structure and density- dependent recruitment. Zbl 0793.92013
Dacorogna, Bernard; Weissbaum, François; Arditi, Roger
1
1994
Remarks on a numerical study of convexity, quasiconvexity, and rank one convexity. Zbl 0898.49012
Dacorogna, Bernard; Haeberly, Jean-Pierre
1
1996
Integral convexity and parabolic systems. Zbl 07190065
Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
6
2020
On the equation \(A \nabla u + \left( \nabla u\right)^t A = G\). Zbl 1437.35162
Bandyopadhyay, S.; Dacorogna, B.; Strütt, D.
1
2020
Quasiconvexity and relaxation in optimal transportation of closed differential forms. Zbl 1470.74012
Dacorogna, Bernard; Gangbo, Wilfrid
2
2019
On the best constant in Gaffney inequality. Zbl 1407.58002
Csato, G.; Dacorogna, B.; Sil, S.
6
2018
Transportation of closed differential forms with non-homogeneous convex costs. Zbl 06916253
Dacorogna, Bernard; Gangbo, Wilfrid
5
2018
Symplectic factorization, Darboux theorem and ellipticity. Zbl 1476.58037
Dacorogna, B.; Gangbo, W.; Kneuss, O.
5
2018
Some remarks on the Lie derivative and the pullback equation for contact forms. Zbl 1360.35043
Dacorogna, Bernard; Kneuss, Olivier; Neves, Wladimir
2
2017
The pullback equation. Zbl 1382.35078
Dacorogna, Bernard
1
2017
A Dirichlet problem involving the divergence operator. Zbl 1338.35106
Csató, G.; Dacorogna, Bernard
3
2016
Optimal transport of closed differential forms for convex costs. (Transport optimal des formes fermées pour des coûts convexes.) Zbl 1334.49142
Dacorogna, Bernard; Gangbo, Wilfrid; Kneuss, Olivier
9
2015
Calculus of variations with differential forms. Zbl 1317.49015
Bandyopadhyay, 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 1356.58005
Dacorogna, B.
3
2015
Some new results on differential inclusions for differential forms. Zbl 1319.35314
Bandyopadhyay, Saugata; Dacorogna, Bernard; Kneuss, Olivier
2
2015
Introduction to the calculus of variations. Transl. from the French. 3rd ed. Zbl 1298.49001
Dacorogna, Bernard
7
2014
Existence of solutions for Jacobian and Hessian equations under smallness assumptions. Zbl 1304.35013
Basterrechea, S.; Dacorogna, B.
4
2014
The second order pullback equation. Zbl 1391.58002
Csató, G.; Dacorogna, B.; Kneuss, O.
4
2014
Multiple Jacobian equations. Zbl 1304.35215
Dacorogna, Bernard; Kneuss, Olivier
1
2014
The pullback equation for differential forms. Zbl 1247.58003
Csató, Gyula; Dacorogna, Bernard; Kneuss, Olivier
50
2012
An identity involving exterior derivatives and applications to Gaffney inequality. Zbl 1247.58002
Csató, Gyula; Dacorogna, Bernard
5
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 1243.35038
Carlier, Guillaume; Dacorogna, Bernard
3
2012
The two well problem for piecewise affine maps. Zbl 1258.35061
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
1
2012
A global version of the Darboux theorem with optimal regularity and Dirichlet condition. Zbl 1227.35132
Dacorogna, B.; Kneuss, O.
2
2011
Divisibility in Grassmann algebra. Zbl 1250.15027
Dacorogna, Bernard; Kneuss, Olivier
1
2011
Origami and partial differential equations. Zbl 1328.00022
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
10
2010
The pullback equation for degenerate forms. Zbl 1270.35197
Bandyopadhyay, Saugata; Dacorogna, Bernard; Kneuss, Olivier
4
2010
Functions with orthogonal Hessian. Zbl 1240.35073
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
3
2010
On the pullback equation \(\varphi ^*(g)=f\). Zbl 1194.35106
Bandyopadhyay, S.; Dacorogna, B.
8
2009
On the equation \(\det\nabla{u}=f\) with no sign hypothesis. Zbl 1180.35169
Cupini, G.; Dacorogna, Bernard; Kneuss, O.
4
2009
Regularity and selecting principles for implicit ordinary differential equations. Zbl 1170.34007
Dacorogna, Bernard; Ferriero, Alessandro
1
2009
Direct methods in the calculus of variations. 2nd ed. Zbl 1140.49001
Dacorogna, Bernard
319
2008
Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042
Dacorogna, B.; Marcellini, P.; Paolini, E.
10
2008
The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity. Zbl 1152.26012
Dacorogna, Bernard; Maréchal, P.
9
2008
An explicit solution to a system of implicit differential equations. Zbl 1141.35014
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
8
2008
Introduction to the calculus of variations. Transl. from the French. 2nd ed. Zbl 1159.49001
Dacorogna, Bernard
4
2008
On the \(n\)-dimensional Dirichlet problem for isometric maps. Zbl 1160.35374
Dacorogna, B.; Marcellini, P.; Paolini, E.
4
2008
Differential inclusions for differential forms. Zbl 1136.49006
Bandyopadhyay, 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 1157.15022
Dacorogna, Bernard; Maréchal, Pierre
4
2007
Extension theorems for vector valued maps. Zbl 1101.46016
Dacorogna, Bernard; Gangbo, Wilfrid
5
2006
Calculus of variations, implicit partial differential equations and microstructure. Zbl 1157.49003
Dacorogna, Bernard
2
2006
Qualitative properties of Lipschitz solutions of eikonal type systems. Zbl 1115.35015
Bellettini, Giovanni; Dacorogna, Bernard; Fusco, Giorgio; Leonetti, Francesco
1
2006
A general existence theorem for differential inclusions in the vector valued case. Zbl 1107.49008
Dacorogna, B.; Pisante, G.
11
2005
Nonconvex problems of the calculus of variations and differential inclusions. Zbl 1101.35001
Dacorogna, Bernard
6
2005
On non quasiconvex problems of the calculus of variations. Zbl 1091.49003
Dacorogna, Bernard; Pisante, Giovanni; Ribeiro, Ana Margarida
6
2005
Introduction to the calculus of variations. Transl. from the French. Zbl 1095.49002
Dacorogna, Bernard
40
2004
Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007
Dacorogna, Bernard; Marcellini, Paolo
3
2004
Existence of solutions for some implicit partial differential equations and applications to variational integrals involving quasi-affine functions. Zbl 1080.35181
Dacorogna, Bernard; Ribeiro, Ana Margarida
3
2004
On a conjugate gradient/Newton/penalty method for the solution of an eikonal system with Dirichlet boundary conditions. Zbl 1060.65610
Dacorogna, Bernard; Glowinski, Roland; Kuznetsov, Yuri; Pan, Tsorng-Whay
3
2004
On a generalized Wirtinger inequality. Zbl 1055.49033
Croce, Gisella; Dacorogna, Bernard
16
2003
On the solvability of the equation \( \text{div} \, u=f\) in \(L^1\) and in \(C^0\). Zbl 1225.35050
Dacorogna, Bernard; Fusco, Nicola; Tartar, Luc
9
2003
Numerical methods for the solution of a system of eikonal equations with Dirichlet boundary conditions. Zbl 1028.65119
Dacorogna, Bernard; Glowinski, Roland; Pan, Tsorng-Whay
5
2003
\(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022
Dacorogna, Bernard; Fonseca, Irene
12
2002
Existence and regularity of solutions of \(d\omega=f\) with Dirichlet boundary conditions. Zbl 1148.35306
Dacorogna, Bernard
9
2002
Implicit partial differential equations and the constraints of nonlinear elasticity. Zbl 1068.74007
Dacorogna, Bernard; Tanteri, Chiara
3
2002
Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension. Zbl 1055.35045
Dacorogna, Bernard
23
2001
An introduction to implicit partial differential equations of the first order. Zbl 1071.35508
Dacorogna, B.
2
2001
Absolute minimizers for some ferromagnetic energies. (Minima absolus pour des énergies ferromagnétiques.) Zbl 0965.49015
Dacorogna, Bernard; Fonseca, Irene
5
2000
Implicit type equations with constraints. (Équations de type implicite avec contraintes.) Zbl 0960.35004
Dacorogna, Bernard; Marcellini, Paolo; Tanteri, Chiara
2
2000
Implicit partial differential equations. Zbl 0938.35002
Dacorogna, Bernard; Marcellini, Paolo
90
1999
Manifold constrained variational problems. Zbl 0935.49006
Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K.
16
1999
Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021
Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N.
9
1999
On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023
Dacorogna, Bernard; Marcellini, Paolo
5
1999
Attainment of minima and implicit partial differential equations. Zbl 0939.49013
Dacorogna, Bernard; Marcellini, Paolo
1
1999
Cauchy-Dirichlet problem for first order nonlinear systems. Zbl 0911.35034
Dacorogna, Bernard
19
1998
Some numerical methods for the study of the convexity notions arising in the calculus of variations. Zbl 0905.65075
Dacorogna, Bernard; Haeberly, Jean-Pierre
7
1998
On the different convex hulls of sets involving singular values. Zbl 0915.15024
Dacorogna, B.; Tanteri, C.
6
1998
General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027
Dacorogna, Bernard; Marcellini, Paolo
63
1997
Implicit second order partial differential equations. Zbl 1003.35043
Dacorogna, Bernard; Marcellini, Paolo
1
1997
Convexity of certain integrals of the calculus of variations. III. Zbl 0927.49015
Dacorogna, B.; Došlý, O.
1
1997
Dirichlet problem for nonlinear first order partial differential equations. Zbl 0882.35031
Dacorogna, Bernard; Marcellini, Paolo
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 0846.35028
Dacorogna, Bernard; Marcellini, Paolo
10
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 0860.35020
Dacorogna, Bernard; Marcellini, Paolo
9
1996
On convexity properties of homogeneous functions of degree one. Zbl 0895.49002
Dacorogna, Bernard; Haeberly, Jean-Pierre
3
1996
Remarks on a numerical study of convexity, quasiconvexity, and rank one convexity. Zbl 0898.49012
Dacorogna, Bernard; Haeberly, Jean-Pierre
1
1996
Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002
Dacorogna, Bernard; Marcellini, Paolo
18
1995
Coercivity of integrals versus coercivity of integrands. Zbl 0866.49002
Boccardo, L.; Dacorogna, B.
1
1995
On the envelopes of functions depending on singular values of matrices. Zbl 0803.49014
Buttazzo, G.; Dacorogna, B.; Gangbo, W.
6
1994
Maximum sustainable yield with continuous age structure and density- dependent recruitment. Zbl 0793.92013
Dacorogna, Bernard; Weissbaum, François; Arditi, Roger
1
1994
On the different notions of convexity for rotationally invariant functions. Zbl 0828.49016
Dacorogna, Bernard; Koshigoe, Hideyuki
13
1993
An example of a quasiconvex function that is not polyconvex in two dimensions. Zbl 0761.26009
Alibert, Jean-Jacques; Dacorogna, Bernard
32
1992
Wulff theorem and best constant in Sobolev inequality. Zbl 0676.46031
Dacorogna, Bernard; Pfister, Charles-Edouard
29
1992
Sur une généralisation de l’inégalité de Wirtinger. (A generalization of Wirtinger’s inequality). Zbl 0764.49009
Dacorogna, B.; Gangbo, W.; Subía, N.
18
1992
Introduction to the calculus of variations. (Introduction au calcul des variations.) Zbl 0757.49001
Dacorogna, Bernard
12
1992
On the optimality of certain Sobolev exponents for the weak continuity of determinants. Zbl 0769.46025
Dacorogna, B.; Murat, F.
11
1992
A minimization problem involving variation of the domain. Zbl 0772.49005
Dacorogna, Bernard; Fonseca, Irene
6
1992
Maximum sustainable yield of populations with continuous age-structure. Zbl 0749.92018
Arditi, Roger; Dacorogna, Bernard
1
1992
On a partial differential equation involving the Jacobian determinant. Zbl 0707.35041
Dacorogna, Bernard; Moser, Jürgen
122
1990
Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants. (Semicontinuity for polyconvex integrands without continuity of determinants). Zbl 0723.49007
Dacorogna, Bernard; Marcellini, Paolo
19
1990
Some examples of rank one convex functions in dimension two. Zbl 0722.49018
Dacorogna, B.; Douchet, J.; Gangbo, W.; Rappaz, J.
15
1990
Existence and non-existence results for non-coercive variational problems and applications in ecology. Zbl 0714.49002
Botteron, Bernard; Dacorogna, Bernard
9
1990
Existence of solutions for a variational problem associated to models in optimal foraging theory. Zbl 0717.49002
Botteron, Bernard; Dacorogna, Bernard
8
1990
Convexity of certain integrals of the calculus of variations. II. Zbl 0821.49016
Dacorogna, Bernard
4
1990
Direct methods in the calculus of variations. Zbl 0703.49001
Dacorogna, Bernard
534
1989
Weak continuity and weak lower semi-continuity of nonlinear functionals. Zbl 0676.46035
Dacorogna, B.
36
1989
Monotonicity of certain differential operators in divergence form. Zbl 0718.47026
Boccardo, L.; Dacorogna, B.
1
1989
An existence theorem for slightly compressible materials in nonlinear elasticity. Zbl 0668.73015
Charrier, P.; Dacorogna, B.; Hanouzet, B.; Laborde, P.
12
1988
A counterexample in the vectorial calculus of variations. Zbl 0641.49007
Dacorogna, Bernard; Marcellini, Paolo
6
1988
Convexity of certain integrals of the calculus of variations. Zbl 0695.49013
Dacorogna, B.
5
1987
Optimal foraging in nonpatchy habitats, II: Unbounded one-dimensional habitat. Zbl 0632.92023
Arditi, Roger; Dacorogna, Bernard
4
1987
A characterization of polyconvex, quasiconvex and rank one convex envelopes. Zbl 0665.49007
Dacorogna, B.
2
1987
Remarques sur les notions de polyconvexité, quasi-convexité et convexité de rang 1. (Remarks on polyconvexity, quasi-convexity and rank 1 convexity). Zbl 0609.49007
Dacorogna, B.
8
1985
...and 7 more Documents
all top 5

Cited by 1,472 Authors

53 Dacorogna, Bernard
38 Pedregal, Pablo
31 Fonseca, Irene
23 Yan, Baisheng
22 Conti, Sergio
22 Marcellini, Paolo
22 Zhang, Kewei
21 Katzourakis, Nikolaos I.
18 Müller, Stefan
17 Kružík, Martin
13 Kristensen, Jan
13 Miehe, Christian
12 Carstensen, Carsten
12 Mandallena, Jean-Philippe
12 Ortiz, Michael
12 Šilhavý, Miroslav
12 Sychev, Mikhail A.
11 Dolzmann, Georg
11 Li, Zhiping
11 Neff, Patrizio
11 Osmolovskij, V. G.
10 Anza Hafsa, Omar
10 Gangbo, Wilfrid
10 Grabovsky, Yury
10 Kneuss, Olivier
10 Kreisbeck, Carolin
10 Mielke, Alexander
10 Mora-Corral, Carlos
9 Bandyopadhyay, Saugata
9 Briane, Marc
9 DeSimone, Antonio
9 Faraco, Daniel
9 Fusco, Nicola
9 Rindler, Filip
9 Zagatti, Sandro
9 Zappale, Elvira
8 Chipot, Michel
8 Dal Maso, Gianni
8 Hackl, Klaus
8 Kim, Seonghak
8 Kohn, Robert Vita
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 Henao, Duvan A.
7 Iwaniec, Tadeusz
7 Leoni, Giovanni
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 De Lellis, Camillo
6 Della Pietra, Francesco
6 Ghiba, Ionel-Dumitrel
6 Gil, Antonio J.
6 Glowinski, Roland
6 Leonetti, Francesco
6 Martin, Robert J.
6 Mingione, Giuseppe
6 Pisante, Giovanni
6 Roubíček, Tomáš
6 Rumpf, Martin
6 Schlömerkemper, Anja
6 Stefanelli, Ulisse
6 Wagner, Marcus M.
5 Amar, Micol
5 Barchiesi, Marco
5 Bellettini, Giovanni
5 Bhattacharya, Kaushik
5 Boccardo, Lucio
5 Bocea, Marian F.
5 Caboussat, Alexandre
5 Cardaliaguet, Pierre
5 Carozza, Menita
5 Csató, Gyula
5 Gao, David Yang
5 Giannetti, Flavia
5 Granieri, Luca
5 Guerra, André
5 Harutyunyan, Davit
5 Kirchheim, Bernd
5 Knees, Dorothee
5 Lambrecht, Matthias
5 Le Dret, Hervé
5 Marcelli, Cristina
5 Marigo, Jean-Jacques
5 Cardoso Matias, José Carlos Pedro
5 Ortigosa, Rogelio
5 Passarelli di Napoli, Antonia
...and 1,372 more Authors
all top 5

Cited in 272 Serials

98 Archive for Rational Mechanics and Analysis
85 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
49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
46 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
40 Journal of Mathematical Analysis and Applications
37 Journal of Elasticity
32 Journal of the Mechanics and Physics of Solids
30 Computer Methods in Applied Mechanics and Engineering
28 Journal of Differential Equations
28 SIAM Journal on Mathematical Analysis
23 Journal of Optimization Theory and Applications
21 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
15 Advances in Calculus of Variations
14 Journal of Nonlinear Science
14 NoDEA. Nonlinear Differential Equations and Applications
13 Manuscripta Mathematica
12 Mathematical Methods in the Applied Sciences
12 Numerical Functional Analysis and Optimization
12 Proceedings of the American Mathematical Society
12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Nonlinear Analysis. Theory, Methods & Applications
9 Communications on Pure and Applied Mathematics
9 Applied Mathematics and Optimization
8 International Journal for Numerical Methods in Engineering
8 Zeitschrift für Analysis und ihre Anwendungen
8 Chinese Annals of Mathematics. Series B
8 The Journal of Geometric Analysis
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7 Applicable Analysis
7 Advances in Mathematics
7 Applied Numerical Mathematics
7 SIAM Journal on Imaging Sciences
6 Communications in Mathematical Physics
6 Journal of Computational Physics
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Numerische Mathematik
6 Quarterly of Applied Mathematics
6 Communications in Partial Differential Equations
6 Bulletin of the American Mathematical Society. New Series
6 Journal of Fixed Point Theory and Applications
6 Set-Valued and Variational Analysis
5 Rocky Mountain Journal of Mathematics
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 Discrete and Continuous Dynamical Systems
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 of Mathematical Physics
4 Journal of Statistical Physics
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
3 Acta Mechanica
3 Computers & Mathematics with Applications
3 Inverse Problems
3 Journal d’Analyse Mathématique
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 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
3 Communications in Contemporary Mathematics
3 Communications on Pure and Applied Analysis
...and 172 more Serials
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Cited in 53 Fields

696 Calculus of variations and optimal control; optimization (49-XX)
533 Partial differential equations (35-XX)
474 Mechanics of deformable solids (74-XX)
117 Numerical analysis (65-XX)
105 Real functions (26-XX)
97 Functional analysis (46-XX)
55 Fluid mechanics (76-XX)
53 Statistical mechanics, structure of matter (82-XX)
51 Differential geometry (53-XX)
51 Global analysis, analysis on manifolds (58-XX)
49 Operator theory (47-XX)
45 Dynamical systems and ergodic theory (37-XX)
42 Operations research, mathematical programming (90-XX)
37 Ordinary differential equations (34-XX)
30 Biology and other natural sciences (92-XX)
27 Computer science (68-XX)
25 Convex and discrete geometry (52-XX)
25 Optics, electromagnetic theory (78-XX)
24 Functions of a complex variable (30-XX)
23 Measure and integration (28-XX)
22 Probability theory and stochastic processes (60-XX)
22 Information and communication theory, circuits (94-XX)
18 Mechanics of particles and systems (70-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
14 Systems theory; control (93-XX)
10 General topology (54-XX)
8 Potential theory (31-XX)
8 Manifolds and cell complexes (57-XX)
8 Quantum theory (81-XX)
6 Approximations and expansions (41-XX)
6 Statistics (62-XX)
6 Classical thermodynamics, heat transfer (80-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Several complex variables and analytic spaces (32-XX)
3 Algebraic geometry (14-XX)
3 Integral equations (45-XX)
3 Geophysics (86-XX)
2 Number theory (11-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Special functions (33-XX)
2 Abstract harmonic analysis (43-XX)
2 Geometry (51-XX)
2 Relativity and gravitational theory (83-XX)
1 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)

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