A note about torsional rigidity and Euclidean moment of inertia of plane domains

DOI10.1134/S1995080218060161zbMath1401.35041OpenAlexW2886945141MaRDI QIDQ1990019

R. G. Salakhudinov

Publication date: 29 October 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218060161

zbMATH Keywords

boundary value probleminradius of a domainLaplace opteratortorsional rigidity of simply connected domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General theory of conformal mappings (30C35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Two-sided estimate for the torsional rigidity of convex domain generalizing the Polya-Szegö and Makai inequalities

Cites Work

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• Versions of the Schwarz lemma for domain moments and the torsional rigidity
• The quantitative isoperimetric inequality and related topics
• Torsional Rigidity and Euclidean Moments of a Convex Domain
• Torsional Rigidity and Expected Lifetime of Brownian Motion
• Refined Inequalities for Euclidean Moments of a Domain with Respect to Its Boundary
• Symmetrization with Equal Dirichlet Integrals
• Solution of the generalized Saint Venant problem
• A proof of Saint-Venant's theorem on torsional rigidity
• Isoperimetric Inequalities and Their Applications
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Isoperimetric inequality for torsional rigidity in the complex plane

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