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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Displaying similar documents to “Functions of least gradient and BV functions”
A characterization of convex calibrable sets in with respect to anisotropic norms
Quarks, fractals, non-linearities, and related elliptic operators
Triebel, Hans
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On the unique extension problem for functionals of the calculus of variations
Luciano Carbone, Riccardo De Arcangelis (2001)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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By drawing inspiration from the treatment of the non parametric area problem, an abstract functional is considered, defined for every open set in a given class of open subsets of and every function in , and verifying suitable assumptions of measure theoretic type, of invariance, convexity, and lower semicontinuity. The problem is discussed of the possibility of extending it, and of the uniqueness of such extension, to a functional verifying analogous properties, but defined in wider...
Retractions onto the Space of Continuous Divergence-free Vector Fields
Philippe Bouafia (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove that there does not exist a uniformly continuous retraction from the space of continuous vector fields onto the subspace of vector fields whose divergence vanishes in the distributional sense. We then generalise this result using the concept of -charges, introduced by De Pauw, Moonens, and Pfeffer: on any subset satisfying a mild geometric condition, there is no uniformly continuous representation operator for -charges in .