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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Diego Averna, Gabriele Bonanno (1999)
Annales Polonici Mathematici
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Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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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 .
Patrizia Pucci, Raffaella Servadei (2008)
Annales de l'I.H.P. Analyse non linéaire
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Novotny, Antonin (1997)
Portugaliae Mathematica
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Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)
Mathematica Bohemica
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We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).