An isoperimetric result for an energy related to the -capacity
Paolo Acampora
Università degli Studi di Napoli Federico II, ItalyEmanuele Cristoforoni
Scuola Superiore Meridionale, Napoli, Italy
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Abstract
In this paper, we generalize the notion of the relative -capacity of with respect to , by replacing the Dirichlet boundary condition with a Robin one. We show that, under volume constraints, our notion of -capacity is minimal when and are concentric balls. We use the -function (see Bossel (1986) and Daners (2006)) and a derearrangement technique.
Cite this article
Paolo Acampora, Emanuele Cristoforoni, An isoperimetric result for an energy related to the -capacity. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 4, pp. 831–844
DOI 10.4171/RLM/1030