A generalization of the Polia-Szego and Makai inequalities for torsional rigidity

DOI10.3103/S1066369X21110086zbMath1483.30003OpenAlexW4200529296MaRDI QIDQ2066432

L. I. Gafiyatullina, R. G. Salakhudinov

Publication date: 14 January 2022

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

Full work available at URL: https://doi.org/10.3103/s1066369x21110086

zbMATH Keywords

isoperimetric inequalitiesconvex domainstorsional rigidityEuclidean moments

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inequalities in the complex plane (30A10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isoperimetric properties of Euclidean boundary moments of a simply connected domain
• Torsional Rigidity and Euclidean Moments of a Convex Domain
• Solution of the generalized Saint Venant problem
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Isoperimetric inequality for torsional rigidity in the complex plane