Calculus of Variations and Geometric Measure Theory
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V. Caselles - A. Chambolle - M. Novaga

Uniqueness of the Cheeger set of a convex body

created by novaga on 06 Apr 2006


Submitted Paper

Inserted: 6 apr 2006

Year: 2006


We prove that if $C \subset *R*^N$ is of class $C^2$ and uniformly convex, then the Cheeger set of $C$ is unique. The Cheeger set of $C$ is the set which minimizes, inside $C$, the ratio perimeter over volume.


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