On an isoperimetric inequality for capacity conjectured by Pólya and Szegö |
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| Authors: | Ilaria Fragalà Michel Pierre |
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| Institution: | 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 |
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| 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. |
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| Keywords: | 49Q10 31A15 |
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