Some remarks on uniqueness and regularity of cheeger sets

Caselles, VicenteChambolle, AntoninNovaga, Matteo2018-12-202018-12-202010Caselles 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/123-90041-8994http://hdl.handle.net/10230/36160We 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.application/pdfeng© European Mathematical Society (EMS)Some remarks on uniqueness and regularity of cheeger setsinfo:eu-repo/semantics/articlehttp://dx.doi.org/10.4171/RSMUP/123-9info:eu-repo/semantics/openAccess