# Some remarks on uniqueness and regularity of Cheeger sets

created by novaga on 17 Jul 2008
modified on 10 Nov 2018

[BibTeX]

Published Paper

Inserted: 17 jul 2008
Last Updated: 10 nov 2018

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 $C^{1,1}$.