Uniqueness of the cheeger set of a convex body

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Document Type: Article
Version: Accepted version
Date: 2009
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Citation: Alter F, Caselles V. Uniqueness of the cheeger set of a convex body. Nonlinear Anal Theory Methods Appl. 2009 Jan;70(1):32-44. DOI: 10.1016/j.na.2007.11.032
Permanent link: http://hdl.handle.net/10230/36161

Abstract:

We prove that if C C RN is 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.
Author: Alter, François ; Caselles, Vicente
DOI: http://dx.doi.org/10.1016/j.na.2007.11.032

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