Uniqueness of the cheeger set of a convex body
Uniqueness of the cheeger set of a convex body
Citació
- 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
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Descripció
Resum
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.