Isoperimetric inequality for torsional rigidity in multidimensional domains

DOI10.3103/S1066369X12070055zbMath1253.49029MaRDI QIDQ1759299

Farit G. Avkhadiev

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalitymoments of inertiatorsional rigidity

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Optimization problems in solid mechanics (74P99)

Related Items (1)

Integral estimates of solutions to boundary values problems for the Poisson equation

Cites Work

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• Isoperimetric inequalities for conformal moments of plane domains
• Konkave Eikörperfunktionale und höhere Trägheitsmomente
• Contributions to the theory of convex bodies
• Comparison theorems of isoperimetric type for moments of compact sets
• New isoperimetric inequalities for moments of domains and torsional rigidity
• Torsional Rigidity and Expected Lifetime of Brownian Motion
• Some isoperimetric inequalities with application to the Stekloff problem
• Solution of the generalized Saint Venant problem
• A Simple Proof of the Gauss-Winckler Inequality
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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