Isoperimetric monotony of the \(L^p\)-norm of the warping function of a plane simply connected domain

DOI10.3103/S1066369X10080074zbMath1208.35024MaRDI QIDQ619471

R. G. Salakhudinov

Publication date: 25 January 2011

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

zbMATH Keywords

isoperimetric inequalitiestorsional rigiditySchwarz symmetrizationisoperimetric monotonyKohler-Jobin symmetrization

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Embedding theorems related to torsional rigidity and principal frequency ⋮ Integral properties of the classical warping function of a simply connected domain ⋮ Isoperimetric inequalities for \(L^p\)-norms of the stress function of a multiply connected plane domain ⋮ Payne type inequalities for \(L^p\)-norms of the warping functions

Cites Work

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• Isoperimetric inequalities for conformal moments of plane domains
• Isoperimetric monotonicity and isoperimetric inequalities of Payne-Rayner type for the first eigenfunction of the Helmholtz problem
• Torsional Rigidity and Expected Lifetime of Brownian Motion
• Isoperimetric Monotonicity: Some Properties and Conjectures (Connections between Isoperimetric Inequalities)
• Some bounds for principal frequency
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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