On an isoperimetric inequality for capacity conjectured by Pólya and Szegö - Université de Rennes Accéder directement au contenu
Article Dans Une Revue Journal of Differential Equations Année : 2011

On an isoperimetric inequality for capacity conjectured by Pólya and Szegö

Ilaria Fragalà
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Filippo Gazzola
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Michel Pierre
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Résumé

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.

Dates et versions

hal-00553350 , version 1 (07-01-2011)

Identifiants

Citer

Ilaria Fragalà, Filippo Gazzola, Michel Pierre. On an isoperimetric inequality for capacity conjectured by Pólya and Szegö. Journal of Differential Equations, 2011, 250 (3), pp.1500-1520. ⟨10.1016/j.jde.2010.07.017⟩. ⟨hal-00553350⟩
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