We show that generically the subsets of R^N 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 C^(1,1), when the ambient set is C^(1,1).
Some remarks on uniqueness and regularity of Cheeger sets
NOVAGA, MATTEO
2010
Abstract
We show that generically the subsets of R^N 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 C^(1,1), when the ambient set is C^(1,1).File in questo prodotto:
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