Estimates of generalized St. Venant functionals

DOI10.1134/S1995080224602923MaRDI QIDQ6649026

F. G. Avkhadiev

Publication date: 5 December 2024

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

zbMATH Keywords

Euclidean spaceconvex domaindomain functionaltorsional rigidityuniformly perfect set

Mathematics Subject Classification ID

Inequalities in real analysis (26Dxx) Geometric function theory (30Cxx) General properties of functions of one complex variable (30Axx)

Cites Work

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• Hardy inequalities on homogeneous groups. 100 years of Hardy inequalities
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• Torsional Rigidity and Expected Lifetime of Brownian Motion
• The isoperimetric inequality
• Solution of the generalized Saint Venant problem
• Embedding theorems related to torsional rigidity and principal frequency
• The integrability of negative powers of the soution to the Saint Venant problem
• Schwarz-Pick Type Inequalities
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Isoperimetric inequality for torsional rigidity in the complex plane

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