An isoperimetric result for an energy related to the \(p\)-capacity

DOI10.4171/RLM/1030arXiv2207.14582MaRDI QIDQ6123787

Emanuele Cristoforoni, Paolo Acampora

Publication date: 8 April 2024

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14582

zbMATH Keywords

free boundaryRobin\(p\)-capacityisocapacitary inequality

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Cites Work

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• A free boundary problem in thermal insulation with a prescribed heat source
• A free boundary problem for the \(p\)-Laplacian with nonlinear boundary conditions

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