Submitted Paper
Inserted: 9 oct 2007
Journal: Nonlinear Analysis TMA
Year: 2007
Abstract:
We prove that if $C \subset \R^N$ is a an open bounded convex set, then there is only one Cheeger set inside $C$ and it is convex. A Cheeger set of $C$ is a set which minimizes the ratio perimeter over volume among all subsets of $C$.
Keywords: Cheeger sets
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