Isoperimetric inequalities for \(L^p\)-norms of the stress function of a multiply connected plane domain

DOI10.3103/S1066369X13090107zbMath1283.49053MaRDI QIDQ2439368

R. G. Salakhudinov

Publication date: 14 March 2014

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

zbMATH Keywords

symmetrizationisoperimetric inequalitiesstress functiontorsional rigidityisoperimetric monotonicityPayne inequality

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10)

Related Items (2)

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

Cites Work

• Unnamed Item
• Isoperimetric monotony of the \(L^p\)-norm of the warping function of a plane simply connected domain
• Isoperimetric Monotonicity: Some Properties and Conjectures (Connections between Isoperimetric Inequalities)
• Solution of the generalized Saint Venant problem

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