Some properties of the torsion function with Robin boundary conditions

DOI10.4171/RLM/962zbMath1497.35114arXiv2010.07807MaRDI QIDQ2154793

Rossano Sannipoli

Publication date: 15 July 2022

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/2010.07807

zbMATH Keywords

Robin boundary conditionstorsion problemshape derivative

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

A rigidity result for the Robin torsion problem

Cites Work

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• Some new functional spaces
• On two functionals involving the maximum of the torsion function
• Isoperimetric Inequalities and Their Applications
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes

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