In this paper we generalize the notion of the relative p-capacity of K with respect to ω, by replacing the Dirichlet boundary condition with a Robin one. We show that, under volume constraints, our notion of p-capacity is minimal when K and ω are concentric balls. We use the H-function (see Bossel (1986) and Daners (2006)) and a derearrangement technique.
An isoperimetric result for an energy related to the p-capacity
Acampora P.;
2023-01-01
Abstract
In this paper we generalize the notion of the relative p-capacity of K with respect to ω, by replacing the Dirichlet boundary condition with a Robin one. We show that, under volume constraints, our notion of p-capacity is minimal when K and ω are concentric balls. We use the H-function (see Bossel (1986) and Daners (2006)) and a derearrangement technique.File in questo prodotto:
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