Integral properties of the classical warping function of a simply connected domain

DOI10.1134/S0001434612090143zbMath1262.35008MaRDI QIDQ1929779

R. G. Salakhudinov

Publication date: 9 January 2013

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalitytorsional rigiditylevel linesisoperimetric monotonicityPayne inequalitySchwartz symmetrization

Mathematics Subject Classification ID

Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Some properties of functionals on level sets ⋮ Payne type inequalities for \(L^p\)-norms of the warping functions

Cites Work

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• Isoperimetric monotony of the \(L^p\)-norm of the warping function of a plane simply connected domain
• Brownian motion and the fundamental frequency of a drum
• Torsional Rigidity and Expected Lifetime of Brownian Motion
• Isoperimetric Monotonicity: Some Properties and Conjectures (Connections between Isoperimetric Inequalities)
• Solution of the generalized Saint Venant problem

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