Estimates of torsional rigidity using conformal characteristics

DOI10.1134/S1995080222130078OpenAlexW4319779987MaRDI QIDQ2688517

Farit G. Avkhadiev

Publication date: 3 March 2023

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

Full work available at URL: https://doi.org/10.1134/s1995080222130078

zbMATH Keywords

isoperimetric inequalityconformal radiustorsional rigiditySaint-Venant functional

Mathematics Subject Classification ID

General theory of conformal mappings (30C35)

Cites Work

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• The analysis and geometry of Hardy's inequality
• Sharp Hardy-type inequalities with Lamb's constant
• Versions of the Schwarz lemma for domain moments and the torsional rigidity
• New isoperimetric inequalities for moments of domains and torsional rigidity
• Integral inequalities in domains of hyperbolic type and their applications
• Torsional Rigidity and Expected Lifetime of Brownian Motion
• Solution of the generalized Saint Venant problem
• Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $
• Unified Poincaré and Hardy inequalities with sharp constants for convex domains
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Isoperimetric inequality for torsional rigidity in the complex plane

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