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CMAP preprint server - Details about Preprint # 621 |
| Title: | Uniqueness of the Cheeger set of a convex body |
| Year: | 08/2007 |
| Language: | English |
| Abstract: | We prove that if C is a convex N-dimensional body whose boundary is twice continuously differentiable 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.
This is a revised version (of July 2006) of a paper submitted in April 2006, to appear in Pacific Journal of Mathematics (231 n°2, 2007) A recent proof of uniqueness of the Cheeger set without any regularity assumption on the boundary of the convex body has been found by Alter and Caselles (see http://www.iua.upf.es/~vcaselles/, the preprint though seems yet unavailable) |
| Pages: | 13 |
| MSC: | 52-99 52A39 |
| Download: | 621.pdf |
| URL: | www.cmap.polytechnique.fr/~antonin |
| Auteurs: | V. Caselles |
| Auteurs: | A. Chambolle |
| Auteurs: | M. Novaga |