Isoperimetric properties of Euclidean boundary moments of a simply connected domain

DOI10.3103/S1066369X13080070zbMath1283.49054OpenAlexW2024982193MaRDI QIDQ2439387

R. G. Salakhudinov

Publication date: 14 March 2014

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

Full work available at URL: https://doi.org/10.3103/s1066369x13080070

zbMATH Keywords

isoperimetric inequalitiestorsional rigidityisoperimetric monotonicityEuclidean boundary moments

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10)

Related Items (5)

Two-sided estimate for the torsional rigidity of convex domain generalizing the Polya-Szegö and Makai inequalities ⋮ Analogs of the Pólya-Szegő and Makai inequalities for the Euclidean moment of inertia of a convex domain ⋮ Some properties of functionals on level sets ⋮ Payne type inequalities for \(L^p\)-norms of the warping functions ⋮ A generalization of the Polia-Szego and Makai inequalities for torsional rigidity

Cites Work

• Isoperimetric inequalities for conformal moments of plane domains
• Torsional Rigidity and Expected Lifetime of Brownian Motion
• Refined Inequalities for Euclidean Moments of a Domain with Respect to Its Boundary
• Isoperimetric Monotonicity: Some Properties and Conjectures (Connections between Isoperimetric Inequalities)
• Circle supports the largest sandpile
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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