Refined Inequalities for Euclidean Moments of a Domain with Respect to Its Boundary

DOI10.1137/09075812XzbMath1267.30005MaRDI QIDQ3165299

R. G. Salakhudinov

Publication date: 26 October 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalitytorsional rigidityEuclidean moments of a domain with respect to its boundary

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Inequalities in the complex plane (30A10)

Related Items (7)

Two-sided estimate for the torsional rigidity of convex domain generalizing the Polya-Szegö and Makai inequalities ⋮ Isoperimetric properties of Euclidean boundary moments of a simply connected domain ⋮ Some properties of functionals on level sets ⋮ A note about torsional rigidity and Euclidean moment of inertia of plane domains ⋮ Payne type inequalities for \(L^p\)-norms of the warping functions ⋮ One-parameter monotone functionals connected with Stieltjes integrals ⋮ Nonlinear free dynamics of a two-layer composite beam with different boundary conditions

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