JournalsrsmupVol. 123pp. 191–201

Some Remarks on Uniqueness and Regularity of Cheeger Sets

  • Vicent Caselles

    Universitat Pompeu-Fabra, Barcelona, Spain
  • Antonin Chambolle

    Ecole Polytechnique, Palaiseau, France
  • Matteo Novaga

    Università di Pisa, Italy
Some Remarks on Uniqueness and Regularity of Cheeger Sets cover
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Abstract

We show that generically the subsets of RN 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.

Cite this article

Vicent Caselles, Antonin Chambolle, Matteo Novaga, Some Remarks on Uniqueness and Regularity of Cheeger Sets. Rend. Sem. Mat. Univ. Padova 123 (2010), pp. 191–201

DOI 10.4171/RSMUP/123-9