Some Remarks on Uniqueness and Regularity of Cheeger Sets
Vicent Caselles
Universitat Pompeu-Fabra, Barcelona, SpainAntonin Chambolle
Ecole Polytechnique, Palaiseau, FranceMatteo Novaga
Università di Pisa, Italy
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Abstract
We show that generically the subsets of with finite volume 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 , when the ambient set is .
Cite this article
Vicent Caselles, Antonin Chambolle, Matteo Novaga, Some Remarks on Uniqueness and Regularity of Cheeger Sets. Rend. Sem. Mat. Univ. Padova 123 (2010), pp. 191–201
DOI 10.4171/RSMUP/123-9