Some remarks on uniqueness and regularity of cheeger sets

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Title:	Some remarks on uniqueness and regularity of cheeger sets
Author:	Caselles, Vicente; Chambolle, Antonin; Novaga, Matteo
Abstract:	We show that generically the subsets of RN with finite volume RN have a unique Cheeger set, in the sense that there always exists a nearby set which has a unique Cheeger set. We also prove that Cheeger sets are C1,1, when the ambient set is C1,1.
Abstract:	The first author acknowledges partial support by PNPGC project, reference MTM2006-14836. The second author is partially supported by the "Agence Nationale de la Recherche", project ANR-06-BLAN-0082.
Rights:	© European Mathematical Society (EMS)
Document type:	Article Article - Accepted version
Published by:	European Mathematical Society (EMS)
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