Exact constants in Poincaré type inequalities for functions with zero mean boundary traces

DOI10.1002/mma.3290zbMath1348.46041arXiv1211.2224OpenAlexW1586416579WikidataQ110233594 ScholiaQ110233594MaRDI QIDQ3467112

Alexander I. Nazarov, Sergey I. Repin

Publication date: 26 January 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2224

zbMATH Keywords

eigenvalue problemsfunctional inequalitiesPoincaré-type inequalitieserror estimates subclass

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Error bounds for boundary value problems involving PDEs (65N15) Inequalities involving derivatives and differential and integral operators (26D10)

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Cites Work

• An optimal Poincaré inequality for convex domains
• Estimation of interpolation error constants for the \(P_0\) and \(P_1\) triangular finite elements
• Rearrangements and convexity of level sets in PDE
• Some inequalities for Stekloff eigenvalues
• Computable upper bounds for the constants in Poincaré-type inequalities for fields of bounded deformation
• Unnamed Item

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