A characterization of convex calibrable sets in with respect to anisotropic norms
V. Caselles, A. Chambolle, S. Moll, M. Novaga (2008)
Annales de l'I.H.P. Analyse non linéaire
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V. Caselles, A. Chambolle, S. Moll, M. Novaga (2008)
Annales de l'I.H.P. Analyse non linéaire
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Irene Fonseca, Nicola Fusco, Paolo Marcellini (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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Local Lipschitz continuity of minimizers of certain integrals of the Calculus of Variations is obtained when the integrands are convex with respect to the gradient variable, but are not necessarily uniformly convex. In turn, these regularity results entail existence of minimizers of variational problems with non-homogeneous integrands nonconvex with respect to the gradient variable. The -dependence, explicitly appearing in the integrands, adds significant technical difficulties in the...
Jean Van Schaftingen (2006)
Annales de l'I.H.P. Analyse non linéaire
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Nicola Fusco, Virginia De Cicco, Micol Amar (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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New -lower semicontinuity and relaxation results for integral functionals defined in BV() are proved, under a very weak dependence of the integrand with respect to the spatial variable . More precisely, only the lower semicontinuity in the sense of the -capacity is assumed in order to obtain the lower semicontinuity of the functional. This condition is satisfied, for instance, by the lower approximate limit of the integrand, if it is BV with respect to . Under this further BV dependence,...
Wu, Mingzhu, Yang, Zuodong (2009)
Boundary Value Problems [electronic only]
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Han, Pigong (2006)
Portugaliae Mathematica. Nova Série
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N. Ghoussoub, X. S. Kang (2004)
Annales de l'I.H.P. Analyse non linéaire
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