Some remarks on uniqueness and regularity of cheeger sets
Some remarks on uniqueness and regularity of cheeger sets
Citació
- Caselles V, Chambolle A, Novaga M. Some remarks on uniqueness and regularity of cheeger sets. Rend Semin Mat U Pad. 2010;123:191-201. DOI: 10.4171/RSMUP/123-9
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Descripció
Resum
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.