Chaire d'analyse mathématique et applications CAA

Articles de B. Dacorogna

2012-2013

    The degenerate two well problem for piecewise affine maps; B. Dacorogna, P. Marcellini et E. Paolini; A paraître dans Nonlinear Differential Equations and Applications (NoDea)

    Résolution du problème de Dirichlet pour l'équation du Jacobien prescrit via l'équation de Monge-Ampère; G. Carlier et B. Dacorogna; Comptes Rendus Acad. Sci. Paris, Ser I, 350 (2012), 371-374.

    The two well problem for piecewise affine maps; B. Dacorogna, P. Marcellini et E. Paolini; Advances in Differential Equations 17 (2012), 673-696.

    An identity involving exterior derivatives and applications to Gaffney inequality; G. Csato et B. Dacorogna; Discrete and Continuous Dynamical Systems, Series S, 5 (2012), 531-544.

2010-2011

    A global version of Darboux theorem with optimal regularity and Dirichlet condition; B. Dacorogna et O. Kneuss; Advances in Differential Equations 16 (2011), 325-360.
    Divisibility in Grassmann Algebra; B. Dacorogna et O. Kneuss; Linear and Multilinear Algebra, 59 (2011), 1201-1220.
    The pullback equation for degenerate forms; S. Bandyopadhyay, B. Dacorogna et O. Kneuss; Discrete and Continuous Dynamical Systems Series A, 27 (2010), 657-691.
    Origami and Partial Differential Equations; B. Dacorogna, P. Marcellini et E. Paolini; Notices of the American Math. Soc. 57 (2010), 598-606.
    Functions with orthogonal Hessian; B. Dacorogna, P. Marcellini et E. Paolini; Differential and Integral Equations, 23 (2010), 51-60.

2008-2009

    On the equation det(Du)=f with no sign hypothesis; G. Cupini, B. Dacorogna et O. Kneuss, Calculus of Variations and Partial differential Equations, 36 (2009), 251-283.
    On the pullback equation φ*(g)=f; S. Bandyopadhyay et B. Dacorogna; Ann. Inst Henri Poincaré, Analyse Non Linéaire 26 (2009), 1717-1741.
    Regularity and selecting principles for implicit ordinary differential equations; B. Dacorogna, A. Ferriero; Discrete and Continuous Dynamical Systems Series B, 11 (2009), 87-101.
    On the n-dimensional Dirichlet problem for isometric maps; B. Dacorogna, P. Marcellini et E. Paolini; Journal of Functional Analysis 255 (2008), 3274-3280.
    An explicit solution to a system of implicit differential equations; B. Dacorogna, P. Marcellini, E. Paolini; Ann. Inst. Henri Poincaré, Analyse Non linéaire, 25 (2008), 163-171
    The role of perspective functions in convexity, polyconvexity, rank one convexity and separate convexity; B. Dacorogna, P. Maréchal; Journal of Convex Analysis, 15 (2008), 271-284.
    Lipschitz-continuous local isometric immersions: rigid maps and origami; B. Dacorogna, P. Marcellini et E. Paolini; Journal Math. Pures Appl., 90 (2008) 66-81.

2006-2007

    Differential inclusions for differential forms; S. Bandyopadhyay, A. C. Barroso, B. Dacorogna, J. Matias; Calculus of Variations and Partial Differential Equations, 28(2007), 449-469.
    Convex SO(n)X SO(n)-invariant functions and refinements of Von Neumann's inequality; B. Dacorogna, P. Maréchal; Annales de la Faculté des Sciences de Toulouse, 26 (2007), 71-89.
    On some definitions and properties of generalized convex sets arising in the calculus of variations; B. Dacorogna, A. M. Ribeiro; dans Recent Advances on Elliptic and Parabolic issues (Proceedings of the 2004 Swiss - Japanese Seminar), édité par M. Chipot et H. Ninomiya, World Scientific Publishing Co., (2006), 103-128.
    A note on spectrally defined polyconvex functions; B. Dacorogna, P. Maréchal; proceedings of the workshop "New developments in the calculus of variations", Edizioni Scientifiche Italiane (2006), 259-274.
    Qualitative properties of Lipschitz functions of eikonal type systems; G. Belletini, B. Dacorogna, G. Fusco, F. Leonetti; Advances in Mathematical Sciences and Applications, 16 (2006), 259-274.
    Some geometric and algebraic properties of various types of convex hulls; dans "Nonsmooth mechanics and Analysis: Theoretical and Numerical advances" en l'honneur de J. J. Moreau; édité par P. Alart, O. Maisonneuve et R. T. Rockafellar, dans Advances in Mechanics and Mathematics, Springer, (2006), 25-34.
    Calculus of variations, implicit partial differential equations and microstructures; dans GAMM Mitteilungen, 29 (2006), 150-171.
    Extension theorems for vector valued maps; B. Dacorogna, W. Gangbo; Journal Mathématiques Pures et Appliquées, 85 (2006), 313-344.

2004-2005

    Non convex problems of the calculus of variations and differential inclusions; dans Handbook of Differential Equations (Stationary Partial Differential Equations) Volume 2, édité par M. Chipot et P. Quittner, Elsevier / North Holland; Chapter 2 (2005), 57-126.
    On non quasiconvex problems of the calculus of variations; B. Dacorogna, G. Pisante, A. M. Ribeiro; Discrete and Continuous Dynamical Systems Series A 13 (2005), 961-983.
    A general existence theorem for differential inclusions in the vector valued case; B. Dacorogna, G. Pisante; Portugaliae Mathematica 62 (2005), 421-436.
    Existence of solutions for some implicit pdes and applications to variational integrals involving quasiaffine fuctions; B. Dacorogna, A. M. Ribeiro; Proc. Royal Soc. Edinburgh 134 A (2004), 1-15.
    On a conjugate gradient/Newton/penalty method for the solution of an eikonal system with Dirichlet boundary conditions; B. Dacorogna, R. Glowinski, Y. Kuznetsov, T-W Pan; dans "Conjugate Gradient Algoriths and Finite element Methods", édité par M. Krizek et al, Springer-Verlag, Berlin (2004), 263-283.
    Viscosity solutions, almost everywhere solutions and explicit formulas; B. Dacorogna, P. Marcellini; Transactions Amer. Math. Soc. 356 (2004), 4643-4653.

2002-2003

    On a generalized Wirtinger inequality; G. Croce, B. Dacorogna; Discrete and Continuous Dynamical Systems Series A, vol. 9 (2003), 1329-1341.
    Numerical methods for the solution of a system of eikonal equations with Dirichlet boundary conditions; B. Dacorogna, R. Glowinski, T-W Pan; Comptes Rendus Acad. Sci. Paris 336 (2003), 511-518.
    On the solvability of the equation div u=f in L^1 and in C^0; B. Dacorogna, N. Fusco et L. Tartar, Rend. Mat. Acc. Lincei 14 (2003), 239-245.
    Existence and regularity of solutions of dw=f with Dirichlet boundary conditions; in Nonlinear Problems in Mathematical Physics and Related Topics (en l’honneur de O. A. Ladyzhenskaya) Vol.1, Kluwer (2002), 67-82.
    Implicit partial differential equations and the constraints of non linear elasticity; B. Dacorogna, C. Tanteri; J. Mathématiques Pures et Appliquées (2002), 81, 311-341.
    A-B quasiconvexity and implicit partial differential equations; B. Dacorogna, I. Fonseca; Calculus of variations and partial differential equations, 14 (2002), 115-149.

2000-2001

    An introduction to implicit partial differential equations; Cubo Mat. Educ. 3 (2001), 303-316.
    Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension; Discrete and Continuous Dynamical Systems Series B 1 (2001), 257-263.
    Minima absolus pour des énergies ferromagnétiques; B. Dacorogna, I. Fonseca; Comptes Rendus Aca. Sci. Paris 331 (2000), 271-274.
    Equations de type implicite avec contraintes; B. Dacorogna, P. Marcellini, C. Tanteri; Comptes Rendus Aca. Sci. Paris 330 (2000), 497-500.

Avant 2000

    Toutes les publications avant 2000 sont à voir ici :

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Bernard Dacorogna

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bernard.dacorogna@epfl.ch