An estimate for the \(L^p\)-norms of a stress function for finitely connected plane domains

DOI10.1007/S11006-006-0176-6zbMath1115.74008OpenAlexW1976868700MaRDI QIDQ881146

R. G. Salakhudinov

Publication date: 21 May 2007

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

Full work available at URL: https://doi.org/10.1007/s11006-006-0176-6

zbMATH Keywords

isoperimetric inequalitytorsional rigidity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Isoperimetric inequalities for a wedge-like membrane

Cites Work

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• Une méthode de comparaison isoperimetrique de fonctionnelles de domaines de la physique mathématique. I. Premiere partie: une demonstration de la conjecture isoperimetrique \(P\lambda^2\geq\pi j^4_0/2\) de Polya et Szegö
• Isoperimetric monotonicity and isoperimetric inequalities of Payne-Rayner type for the first eigenfunction of the Helmholtz problem
• An isoperimetric inequality for the first eigenfunction in the fixed membrane problem
• On the torsional rigidity of multiply connected cross-sections
• Isoperimetric Monotonicity: Some Properties and Conjectures (Connections between Isoperimetric Inequalities)
• Solution of the generalized Saint Venant problem
• Isoperimetric inequality for torsional rigidity in the complex plane

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