Uniqueness of the cheeger set of a convex body
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.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2009 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10230/36161 |
| Acceso en línea: | http://hdl.handle.net/10230/36161 http://dx.doi.org/10.1016/j.na.2007.11.032 |
| Access Level: | acceso abierto |
| Palabra clave: | Cheeger set Convex set Set of finite perimeter Mean curvature |
| Sumario: | 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. |
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