We prove that if C subset of R-N is of class C-2 and uniformly convex, the Cheeger set of C is unique. The Cheeger set of C is the set that minimizes, inside C, the ratio of perimeter over volume.
Uniqueness of the Cheeger set of a convex body
NOVAGA, MATTEO
2007-01-01
Abstract
We prove that if C subset of R-N is of class C-2 and uniformly convex, the Cheeger set of C is unique. The Cheeger set of C is the set that minimizes, inside C, the ratio of perimeter over volume.File in questo prodotto:
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