Work

An isoperimetric result for an energy related to the $p$-capacity

Year: 2024

Type: article

Abstract: In this paper, we generalize the notion of the relative p -capacity of K with respect to \Omega , 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 \Omega are concentric balls. We use the H -function (see Bossel (1986) and Daners (2006)) and a derearrangement technique.

Source: Rendiconti Lincei Matematica e Applicazioni

DOI: 10.4171/rlm/1030

Authors: Paolo Acampora, Emanuele Cristoforoni

Institutions: University of Naples Federico II, Scuola Superiore Meridionale

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4390886166

FWCI: 0.32

Cites: 14

Cited by: 1

Related to: 10