Original scientific paper

Isoperimetric inequalities for an electrostatic problem

L. Boukrim
T. Mekkaoui

Abstract

We study the problem of the (p-)capacity cp of a multiconnected configuration Ω = (G \ E) \ (∪ Hi) when ∂G and ∂E have given potentials. Here Ω represents a nonhomogeneous medium and the Hi, which separate the different connected components of Ω, represent perfect conductors. By comparison with a similar configuration with spherical symmetry, we give isoperimetric inequalities for cp and the unknown potentials on Hi.

Keywords

Isoperimetric inequality; rearrangement; nonlinear elliptic PDE's

Hrčak ID:

5854

URI

https://hrcak.srce.hr/5854

Publication date:

9.12.2006.

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