Weighted Korn inequalities on John domains

DOI10.4064/SM8488-4-2017zbMath1392.26030arXiv1612.04445OpenAlexW2765688413MaRDI QIDQ3130521

Fernando López García

Publication date: 22 January 2018

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04445

zbMATH Keywords

decompositionweighted Sobolev spacestreesJohn domainsKorn inequalitydivergence problemBoman chain domainsdistance weights

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Classical linear elasticity (74B05) Inequalities involving derivatives and differential and integral operators (26D10)

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An application of the weighted discrete Hardy inequality ⋮ Korn's inequality in anisotropic Sobolev spaces ⋮ Weighted discrete Hardy inequalities on trees and applications ⋮ A note on weighted Korn inequality ⋮ Steklov eigenvalues for the Lamé operator in linear elasticity ⋮ Weighted asymptotic Korn and interpolation Korn inequalities with singular weights ⋮ On the weighted fractional Poincar\'e-type inequalities

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