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Dacorogna, Bernard

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Author ID: dacorogna.bernard Recent zbMATH articles by "Dacorogna, Bernard"
Published as: Dacorogna, B.; Dacorogna, Bernard
External Links: MGP · Wikidata
Documents Indexed: 126 Publications since 1981, including 15 Books
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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 Enseignement des Mathématiques (Lausanne)
3 Mathematical Biosciences
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Discrete and Continuous Dynamical Systems
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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 Lecture Notes in Mathematics
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

105 Publications have been cited 2,035 times in 1,379 Documents Cited by Year
Direct methods in the calculus of variations. Zbl 0703.49001
Dacorogna, Bernard
557
1989
Direct methods in the calculus of variations. 2nd ed. Zbl 1140.49001
Dacorogna, Bernard
273
2008
Weak continuity and weak lower semi-continuity of non-linear functionals. Zbl 0484.46041
Dacorogna, Bernard
129
1982
On a partial differential equation involving the Jacobian determinant. Zbl 0707.35041
Dacorogna, Bernard; Moser, Jürgen
111
1990
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.
74
1982
General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027
Dacorogna, Bernard; Marcellini, Paolo
62
1997
The pullback equation for differential forms. Zbl 1247.58003
Csató, Gyula; Dacorogna, Bernard; Kneuss, Olivier
42
2012
Introduction to the calculus of variations. Transl. from the French. Zbl 1095.49002
Dacorogna, Bernard
37
2004
Weak continuity and weak lower semi-continuity of nonlinear functionals. Zbl 0676.46035
Dacorogna, B.
34
1989
An example of a quasiconvex function that is not polyconvex in two dimensions. Zbl 0761.26009
Alibert, Jean-Jacques; Dacorogna, Bernard
31
1992
Wulff theorem and best constant in Sobolev inequality. Zbl 0676.46031
Dacorogna, Bernard; Pfister, Charles-Edouard
25
1992
A relaxation theorem and its application to the equilibrium of gases. Zbl 0492.49002
Dacorogna, B.
25
1981
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
Cauchy-Dirichlet problem for first order nonlinear systems. Zbl 0911.35034
Dacorogna, Bernard
18
1998
Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002
Dacorogna, Bernard; Marcellini, Paolo
18
1995
Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension. Zbl 1055.35045
Dacorogna, Bernard
17
2001
Sur une généralisation de l’inégalité de Wirtinger. (A generalization of Wirtinger’s inequality). Zbl 0764.49009
Dacorogna, B.; Gangbo, W.; Subía, N.
17
1992
On a generalized Wirtinger inequality. Zbl 1055.49033
Croce, Gisella; Dacorogna, Bernard
16
2003
Manifold constrained variational problems. Zbl 0935.49006
Dacorogna, B.; Fonseca, I.; Malý, J.; Trivisa, K.
16
1999
Introduction to the calculus of variations. Zbl 0757.49001
Dacorogna, Bernard
15
1992
Some examples of rank one convex functions in dimension two. Zbl 0722.49018
Dacorogna, B.; Douchet, J.; Gangbo, W.; Rappaz, J.
14
1990
On the different notions of convexity for rotationally invariant functions. Zbl 0828.49016
Dacorogna, Bernard; Koshigoe, Hideyuki
13
1993
\(A\)-\(B\) quasiconvexity and implicit partial differential equations. Zbl 1030.35022
Dacorogna, Bernard; Fonseca, Irene
12
2002
A counterexample in the vectorial calculus of variations. Zbl 0641.49007
Dacorogna, Bernard; Marcellini, Paolo
12
1988
A general existence theorem for differential inclusions in the vector valued case. Zbl 1107.49008
Dacorogna, B.; Pisante, G.
11
2005
On the optimality of certain Sobolev exponents for the weak continuity of determinants. Zbl 0769.46025
Dacorogna, B.; Murat, F.
11
1992
Existence theorems for Hamilton-Jacobi equations in the scalar and the vectorial cases. Zbl 0846.35028
Dacorogna, Bernard; Marcellini, Paolo
10
1996
An existence theorem for slightly compressible materials in nonlinear elasticity. Zbl 0668.73015
Charrier, P.; Dacorogna, B.; Hanouzet, B.; Laborde, P.
10
1988
Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042
Dacorogna, B.; Marcellini, P.; Paolini, E.
9
2008
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
Existence and regularity of solutions of \(d\omega=f\) with Dirichlet boundary conditions. Zbl 1148.35306
Dacorogna, Bernard
9
2002
Geometric restrictions for the existence of viscosity solutions. Zbl 0927.35021
Cardaliaguet, P.; Dacorogna, B.; Gangbo, W.; Georgy, N.
9
1999
Cauchy-Dirichlet problem for first order nonlinear systems. Zbl 0860.35020
Dacorogna, Bernard; Marcellini, Paolo
9
1996
Existence and non-existence results for non-coercive variational problems and applications in ecology. Zbl 0714.49002
Botteron, Bernard; Dacorogna, Bernard
9
1990
Optimal transport of closed differential forms for convex costs. Zbl 1334.49142
Dacorogna, Bernard; Gangbo, Wilfrid; Kneuss, Olivier
8
2015
Calculus of variations with differential forms. Zbl 1317.49015
Bandyopadhyay, Saugata; Dacorogna, Bernard; Sil, Swarnendu
8
2015
An explicit solution to a system of implicit differential equations. Zbl 1141.35014
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
8
2008
Existence of solutions for a variational problem associated to models in optimal foraging theory. Zbl 0717.49002
Botteron, Bernard; Dacorogna, Bernard
8
1990
Introduction to the calculus of variations. Transl. from the French. 3rd ed. Zbl 1298.49001
Dacorogna, Bernard
7
2014
Origami and partial differential equations. Zbl 1328.00022
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
7
2010
On the pullback equation \(\varphi ^*(g)=f\). Zbl 1194.35106
Bandyopadhyay, S.; Dacorogna, B.
7
2009
The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity. Zbl 1152.26012
Dacorogna, Bernard; Maréchal, P.
7
2008
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.
7
1985
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
An introduction to implicit partial differential equations of the first order. Zbl 1071.35508
Dacorogna, B.
6
2001
Attainment of minima and implicit partial differential equations. Zbl 0939.49013
Dacorogna, Bernard; Marcellini, Paolo
6
1999
On the different convex hulls of sets involving singular values. Zbl 0915.15024
Dacorogna, B.; Tanteri, C.
6
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
6
1998
On the envelopes of functions depending on singular values of matrices. Zbl 0803.49014
Buttazzo, G.; Dacorogna, B.; Gangbo, W.
6
1994
On the best constant in Gaffney inequality. Zbl 1407.58002
Csato, G.; Dacorogna, B.; Sil, S.
5
2018
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
Absolute minimizers for some ferromagnetic energies. Zbl 0965.49015
Dacorogna, Bernard; Fonseca, Irene
5
2000
A minimization problem involving variation of the domain. Zbl 0772.49005
Dacorogna, Bernard; Fonseca, Irene
5
1992
Convexity of certain integrals of the calculus of variations. II. Zbl 0821.49016
Dacorogna, Bernard
5
1990
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
5
1987
Optimal foraging in nonpatchy habitats. I. Bounded one-dimensional resource. Zbl 0577.92023
Arditi, Roger; Dacorogna, Bernard
5
1985
Transportation of closed differential forms with non-homogeneous convex costs. Zbl 06916253
Dacorogna, Bernard; Gangbo, Wilfrid
4
2018
Symplectic factorization, Darboux theorem and ellipticity. Zbl 06840961
Dacorogna, B.; Gangbo, W.; Kneuss, O.
4
2018
The second order pullback equation. Zbl 1391.58002
Csató, G.; Dacorogna, B.; Kneuss, O.
4
2014
An identity involving exterior derivatives and applications to Gaffney inequality. Zbl 1247.58002
Csató, Gyula; Dacorogna, Bernard
4
2012
Solution of the Dirichlet problem for the prescribed Jacobian equation using the Monge-Ampère equation. Zbl 1243.35038
Carlier, Guillaume; Dacorogna, Bernard
4
2012
The pullback equation for degenerate forms. Zbl 1270.35197
Bandyopadhyay, Saugata; Dacorogna, Bernard; Kneuss, Olivier
4
2010
On the equation \(\det\nabla{u}=f\) with no sign hypothesis. Zbl 1180.35169
Cupini, G.; Dacorogna, Bernard; Kneuss, O.
4
2009
Introduction to the calculus of variations. Transl. from the French. 2nd ed. Zbl 1159.49001
Dacorogna, Bernard
4
2008
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
Differential inclusions for differential forms. Zbl 1136.49006
Bandyopadhyay, Saugata; Barroso, Ana Cristina; Dacorogna, Bernard; Matias, José
4
2007
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
4
2004
On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023
Dacorogna, Bernard; Marcellini, Paolo
4
1999
A characterization of pseudo-monotone differential operators in divergence form. Zbl 0562.47041
Boccardo, L.; Dacorogna, B.
4
1984
A Dirichlet problem involving the divergence operator. Zbl 1338.35106
Csató, G.; Dacorogna, Bernard
3
2016
Existence of solutions for Jacobian and Hessian equations under smallness assumptions. Zbl 1304.35013
Basterrechea, S.; Dacorogna, B.
3
2014
On the \(n\)-dimensional Dirichlet problem for isometric maps. Zbl 1160.35374
Dacorogna, B.; Marcellini, P.; Paolini, E.
3
2008
Extension theorems for vector valued maps. Zbl 1101.46016
Dacorogna, Bernard; Gangbo, Wilfrid
3
2006
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
Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007
Dacorogna, Bernard; Marcellini, Paolo
3
2004
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
Semi-continuité des fonctionnelles avec contraintes du type ”det \(\nabla u>0''\). Zbl 0564.49005
Dacorogna, B.; Fusco, N.
3
1985
Integral convexity and parabolic systems. Zbl 07190065
Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
2
2020
Quasiconvexity and relaxation in optimal transportation of closed differential forms. Zbl 07081314
Dacorogna, Bernard; Gangbo, Wilfrid
2
2019
Some remarks on the Lie derivative and the pullback equation for contact forms. Zbl 1360.35043
Dacorogna, Bernard; Kneuss, Olivier; Neves, Wladimir
2
2017
On a nonlinear problem for divergence and the determinant. Zbl 1356.58005
Dacorogna, B.
2
2015
Some new results on differential inclusions for differential forms. Zbl 1319.35314
Bandyopadhyay, Saugata; Dacorogna, Bernard; Kneuss, Olivier
2
2015
Functions with orthogonal Hessian. Zbl 1240.35073
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
2
2010
Calculus of variations, implicit partial differential equations and microstructure. Zbl 1157.49003
Dacorogna, Bernard
2
2006
Implicit type equations with constraints. Zbl 0960.35004
Dacorogna, Bernard; Marcellini, Paolo; Tanteri, Chiara
2
2000
A characterization of polyconvex, quasiconvex and rank one convex envelopes. Zbl 0665.49007
Dacorogna, B.
2
1987
Minimal hypersurfaces problems in parametric form with nonconvex integrands. Zbl 0465.53038
Dacorogna, B.
2
1982
Multiple Jacobian equations. Zbl 1304.35215
Dacorogna, Bernard; Kneuss, Olivier
1
2014
The two well problem for piecewise affine maps. Zbl 1258.35061
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
1
2012
Divisibility in Grassmann algebra. Zbl 1250.15027
Dacorogna, Bernard; Kneuss, Olivier
1
2011
A global version of the Darboux theorem with optimal regularity and Dirichlet condition. Zbl 1227.35132
Dacorogna, B.; Kneuss, O.
1
2011
Regularity and selecting principles for implicit ordinary differential equations. Zbl 1170.34007
Dacorogna, Bernard; Ferriero, Alessandro
1
2009
Qualitative properties of Lipschitz solutions of eikonal type systems. Zbl 1115.35015
Bellettini, Giovanni; Dacorogna, Bernard; Fusco, Giorgio; Leonetti, Francesco
1
2006
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
Integral convexity and parabolic systems. Zbl 07190065
Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
2
2020
Quasiconvexity and relaxation in optimal transportation of closed differential forms. Zbl 07081314
Dacorogna, Bernard; Gangbo, Wilfrid
2
2019
On the best constant in Gaffney inequality. Zbl 1407.58002
Csato, G.; Dacorogna, B.; Sil, S.
5
2018
Transportation of closed differential forms with non-homogeneous convex costs. Zbl 06916253
Dacorogna, Bernard; Gangbo, Wilfrid
4
2018
Symplectic factorization, Darboux theorem and ellipticity. Zbl 06840961
Dacorogna, B.; Gangbo, W.; Kneuss, O.
4
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
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. Zbl 1334.49142
Dacorogna, Bernard; Gangbo, Wilfrid; Kneuss, Olivier
8
2015
Calculus of variations with differential forms. Zbl 1317.49015
Bandyopadhyay, Saugata; Dacorogna, Bernard; Sil, Swarnendu
8
2015
On a nonlinear problem for divergence and the determinant. Zbl 1356.58005
Dacorogna, B.
2
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
The second order pullback equation. Zbl 1391.58002
Csató, G.; Dacorogna, B.; Kneuss, O.
4
2014
Existence of solutions for Jacobian and Hessian equations under smallness assumptions. Zbl 1304.35013
Basterrechea, S.; Dacorogna, B.
3
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
42
2012
An identity involving exterior derivatives and applications to Gaffney inequality. Zbl 1247.58002
Csató, Gyula; Dacorogna, Bernard
4
2012
Solution of the Dirichlet problem for the prescribed Jacobian equation using the Monge-Ampère equation. Zbl 1243.35038
Carlier, Guillaume; Dacorogna, Bernard
4
2012
The two well problem for piecewise affine maps. Zbl 1258.35061
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
1
2012
Divisibility in Grassmann algebra. Zbl 1250.15027
Dacorogna, Bernard; Kneuss, Olivier
1
2011
A global version of the Darboux theorem with optimal regularity and Dirichlet condition. Zbl 1227.35132
Dacorogna, B.; Kneuss, O.
1
2011
Origami and partial differential equations. Zbl 1328.00022
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
7
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
2
2010
On the pullback equation \(\varphi ^*(g)=f\). Zbl 1194.35106
Bandyopadhyay, S.; Dacorogna, B.
7
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
273
2008
Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042
Dacorogna, B.; Marcellini, P.; Paolini, E.
9
2008
An explicit solution to a system of implicit differential equations. Zbl 1141.35014
Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele
8
2008
The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity. Zbl 1152.26012
Dacorogna, Bernard; Maréchal, P.
7
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.
3
2008
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
Differential inclusions for differential forms. Zbl 1136.49006
Bandyopadhyay, Saugata; Barroso, Ana Cristina; Dacorogna, Bernard; Matias, José
4
2007
Extension theorems for vector valued maps. Zbl 1101.46016
Dacorogna, Bernard; Gangbo, Wilfrid
3
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
37
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
4
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
Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007
Dacorogna, Bernard; Marcellini, Paolo
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
17
2001
An introduction to implicit partial differential equations of the first order. Zbl 1071.35508
Dacorogna, B.
6
2001
Absolute minimizers for some ferromagnetic energies. Zbl 0965.49015
Dacorogna, Bernard; Fonseca, Irene
5
2000
Implicit type equations with constraints. 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
Attainment of minima and implicit partial differential equations. Zbl 0939.49013
Dacorogna, Bernard; Marcellini, Paolo
6
1999
On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023
Dacorogna, Bernard; Marcellini, Paolo
4
1999
Cauchy-Dirichlet problem for first order nonlinear systems. Zbl 0911.35034
Dacorogna, Bernard
18
1998
On the different convex hulls of sets involving singular values. Zbl 0915.15024
Dacorogna, B.; Tanteri, C.
6
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
6
1998
General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027
Dacorogna, Bernard; Marcellini, Paolo
62
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. Zbl 0846.35028
Dacorogna, Bernard; Marcellini, Paolo
10
1996
Cauchy-Dirichlet problem for first order nonlinear systems. 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
31
1992
Wulff theorem and best constant in Sobolev inequality. Zbl 0676.46031
Dacorogna, Bernard; Pfister, Charles-Edouard
25
1992
Sur une généralisation de l’inégalité de Wirtinger. (A generalization of Wirtinger’s inequality). Zbl 0764.49009
Dacorogna, B.; Gangbo, W.; Subía, N.
17
1992
Introduction to the calculus of variations. Zbl 0757.49001
Dacorogna, Bernard
15
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
5
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
111
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.
14
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
5
1990
Direct methods in the calculus of variations. Zbl 0703.49001
Dacorogna, Bernard
557
1989
Weak continuity and weak lower semi-continuity of nonlinear functionals. Zbl 0676.46035
Dacorogna, B.
34
1989
Monotonicity of certain differential operators in divergence form. Zbl 0718.47026
Boccardo, L.; Dacorogna, B.
1
1989
A counterexample in the vectorial calculus of variations. Zbl 0641.49007
Dacorogna, Bernard; Marcellini, Paolo
12
1988
An existence theorem for slightly compressible materials in nonlinear elasticity. Zbl 0668.73015
Charrier, P.; Dacorogna, B.; Hanouzet, B.; Laborde, P.
10
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
5
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.
7
1985
Optimal foraging in nonpatchy habitats. I. Bounded one-dimensional resource. Zbl 0577.92023
Arditi, Roger; Dacorogna, Bernard
5
1985
Semi-continuité des fonctionnelles avec contraintes du type ”det \(\nabla u>0''\). Zbl 0564.49005
Dacorogna, B.; Fusco, N.
3
1985
...and 5 more Documents
all top 5

Cited by 1,430 Authors

52 Dacorogna, Bernard
34 Pedregal, Pablo
31 Fonseca, Irene
23 Yan, Baisheng
21 Conti, Sergio
21 Zhang, Kewei
20 Marcellini, Paolo
18 Katzourakis, Nikolaos I.
18 Müller, Stefan
16 Kružík, Martin
13 Miehe, Christian
12 Kristensen, Jan
12 Li, Zhiping
12 Šilhavý, Miroslav
11 Dolzmann, Georg
11 Mandallena, Jean-Philippe
11 Ortiz, Michael
10 Anza Hafsa, Omar
10 Carstensen, Carsten
10 Gangbo, Wilfrid
10 Grabovsky, Yury
10 Kneuss, Olivier
10 Mielke, Alexander
10 Neff, Patrizio
10 Sychev, Mikhail A.
9 Faraco, Daniel
9 Fusco, Nicola
9 Mora-Corral, Carlos
9 Rindler, Filip
8 Bandyopadhyay, Saugata
8 Briane, Marc
8 Chipot, Michel
8 Dal Maso, Gianni
8 DeSimone, Antonio
8 Hackl, Klaus
8 Kim, Seonghak
8 Kohn, Robert Vita
8 Kreisbeck, Carolin
8 Krömer, Stefan
8 Malý, Jan
8 Michaille, Gérard
8 Scherzer, Otmar
8 Székelyhidi, László jun.
8 Zagatti, Sandro
8 Zappale, Elvira
7 Bevan, Jonathan J.
7 Carlier, Guillaume
7 Ciarlet, Philippe Gaston
7 Cupini, Giovanni
7 Francfort, Gilles A.
7 Glowinski, Roland
7 Iwaniec, Tadeusz
7 Leoni, Giovanni
7 Osmolovskij, V. G
7 Sil, Swarnendu
7 Steigmann, David J.
7 Truskinovsky, Lev
6 Babadjian, Jean-François
6 Barroso, Ana Cristina
6 Bellido, José Carlos
6 Bocea, Marian F.
6 Croce, Gisella
6 De Lellis, Camillo
6 Della Pietra, Francesco
6 Gil, Antonio J.
6 Henao, Duvan A.
6 Mingione, Giuseppe
6 Ornelas, António
6 Pisante, Giovanni
6 Roubíček, Tomáš
6 Rumpf, Martin
6 Schlömerkemper, Anja
6 Schmidt, Bernd
6 Wagner, Marcus M.
5 Amar, Micol
5 Barchiesi, Marco
5 Bellettini, Giovanni
5 Bessa, Mário
5 Bhattacharya, Kaushik
5 Boccardo, Lucio
5 Caboussat, Alexandre
5 Cardaliaguet, Pierre
5 Csató, Gyula
5 Gao, David Yang
5 Ghiba, Ionel-Dumitrel
5 Giannetti, Flavia
5 Granieri, Luca
5 Kirchheim, Bernd
5 Knees, Dorothee
5 Lambrecht, Matthias
5 Le Dret, Hervé
5 Marcelli, Cristina
5 Marigo, Jean-Jacques
5 Martin, Robert J.
5 Cardoso Matias, José Carlos Pedro
5 Mihăilescu, Mihai
5 Ortigosa, Rogelio
5 Rappaz, Jacques
5 Rogers, Robert C.
5 Santambrogio, Filippo
...and 1,330 more Authors
all top 5

Cited in 259 Serials

89 Archive for Rational Mechanics and Analysis
77 Calculus of Variations and Partial Differential Equations
65 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
57 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
45 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
41 Journal of Mathematical Analysis and Applications
33 Journal of Elasticity
31 Journal of the Mechanics and Physics of Solids
30 Computer Methods in Applied Mechanics and Engineering
30 Journal of Differential Equations
26 SIAM Journal on Mathematical Analysis
21 Journal of Optimization Theory and Applications
20 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 Nonlinear Analysis. Theory, Methods & Applications
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Journal of Nonlinear Science
14 NoDEA. Nonlinear Differential Equations and Applications
12 Mathematical Methods in the Applied Sciences
12 Manuscripta Mathematica
12 Numerical Functional Analysis and Optimization
12 Proceedings of the American Mathematical Society
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Advances in Calculus of Variations
9 Communications on Pure and Applied Mathematics
8 Journal of Computational Physics
8 International Journal for Numerical Methods in Engineering
8 Chinese Annals of Mathematics. Series B
8 The Journal of Geometric Analysis
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7 Applied Mathematics and Optimization
7 Zeitschrift für Analysis und ihre Anwendungen
7 Applied Numerical Mathematics
6 Applicable Analysis
6 Communications in Mathematical Physics
6 Advances in 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 Journal of Fixed Point Theory and Applications
5 Journal of Mathematical Physics
5 Inventiones Mathematicae
5 Numerische Mathematik
5 Rendiconti del Seminario Matematico della Università di Padova
5 SIAM Journal on Control and Optimization
5 Acta Applicandae Mathematicae
5 Bulletin of the American Mathematical Society. New Series
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 SIAM Journal on Imaging Sciences
5 Set-Valued and Variational Analysis
4 Computers & Mathematics with Applications
4 International Journal of Engineering Science
4 Journal of Statistical Physics
4 Rocky Mountain Journal of Mathematics
4 Acta Mathematica
4 Journal of Computational and Applied Mathematics
4 Physica D
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 Discrete and Continuous Dynamical Systems
4 Communications in Contemporary Mathematics
4 Nonlinear Analysis. Real World Applications
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 S\(\vec{\text{e}}\)MA Journal
3 Acta Mechanica
3 Inverse Problems
3 Mathematical Biosciences
3 Physica A
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Siberian Mathematical Journal
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Optimization
3 Revista Matemática Iberoamericana
3 European Journal of Applied Mathematics
3 Journal of Dynamics and Differential Equations
3 SIAM Journal on Scientific Computing
3 Annales Mathématiques Blaise Pascal
3 Annals of Mathematics. Second Series
3 Journal of the European Mathematical Society (JEMS)
3 Acta Mathematica Sinica. English Series
3 GAMM-Mitteilungen
3 Complex Variables and Elliptic Equations
3 Journal of Elliptic and Parabolic Equations
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Biology
2 Mathematical Notes
2 Mathematics of Computation
2 The Annals of Probability
...and 159 more Serials
all top 5

Cited in 53 Fields

667 Calculus of variations and optimal control; optimization (49-XX)
491 Partial differential equations (35-XX)
460 Mechanics of deformable solids (74-XX)
102 Numerical analysis (65-XX)
100 Real functions (26-XX)
92 Functional analysis (46-XX)
57 Fluid mechanics (76-XX)
55 Statistical mechanics, structure of matter (82-XX)
47 Differential geometry (53-XX)
47 Global analysis, analysis on manifolds (58-XX)
43 Dynamical systems and ergodic theory (37-XX)
41 Operator theory (47-XX)
38 Operations research, mathematical programming (90-XX)
36 Ordinary differential equations (34-XX)
27 Computer science (68-XX)
25 Convex and discrete geometry (52-XX)
25 Biology and other natural sciences (92-XX)
24 Optics, electromagnetic theory (78-XX)
22 Functions of a complex variable (30-XX)
21 Measure and integration (28-XX)
20 Probability theory and stochastic processes (60-XX)
19 Information and communication theory, circuits (94-XX)
17 Mechanics of particles and systems (70-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Systems theory; control (93-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
10 General topology (54-XX)
7 Manifolds and cell complexes (57-XX)
7 Statistics (62-XX)
7 Quantum theory (81-XX)
6 Approximations and expansions (41-XX)
6 Classical thermodynamics, heat transfer (80-XX)
4 General and overarching topics; collections (00-XX)
4 Combinatorics (05-XX)
4 Potential theory (31-XX)
4 Several complex variables and analytic spaces (32-XX)
3 History and biography (01-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)
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 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

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