On an isoperimetric inequality for capacity conjectured by Pólya and Szegö |
| |
Authors: | Ilaria Fragalà ,Michel Pierre |
| |
Affiliation: | a Dipartimento di Matematica - Politecnico, Piazza Leonardo da Vinci 32, 20133 Milano, Italy b ENS Cachan Bretagne, IRMAR, EUB, Campus de Ker Lann, 35170 Bruz, France |
| |
Abstract: | We study a conjecture by Pólya and Szegö on the approximation of the electrostatic capacity of convex bodies in terms of their surface measure. We prove that a “local version” of this conjecture holds true and we give some results which bring further evidence to its global validity. |
| |
Keywords: | 49Q10 31A15 |
本文献已被 ScienceDirect 等数据库收录! |
|