# Some remarks on uniqueness and regularity of Cheeger sets

created by novaga on 17 Jul 2008
modified on 18 Jul 2008

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Submitted Paper

Inserted: 17 jul 2008
Last Updated: 18 jul 2008

Year: 2008

Abstract:

We show that the subsets of $\mathbf R^N$ with finite volume have a unique Cheeger set, up to small perturbations. We also prove that Cheeger sets are $C^{1,1}$, when the ambient set is $C^{1,1}$.