Boundary Korn inequality and Neumann problems in homogenization of systems of elasticity

DOI10.1007/s00205-017-1103-6zbMath1368.35259arXiv1608.07736OpenAlexW2517701263MaRDI QIDQ524320

Jun Geng, Zhongwei Shen, Liang Song

Publication date: 2 May 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07736

zbMATH Keywords

elasticityhomogenizationNeumann problemboundary Korn inequalityRellich estimate

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) A priori estimates in context of PDEs (35B45) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (8)

Convergence rates for linear elasticity systems on perforated domains ⋮ Boundary estimates in homogenization of systems of elasticity on Lipschitz domains: \(L^p\) theory ⋮ Homogenization of boundary value problems in perforated Lipschitz domains ⋮ Uniform estimates for systems of elasticity in homogenization ⋮ Hardy spaces and the Neumann problem in \(L^p\) for elliptic equation with periodic high-contrast coefficients in Lipschitz domains ⋮ Optimal Boundary Estimates for Stokes Systems in Homogenization Theory ⋮ Boundary estimates in elliptic homogenization ⋮ Leading and second order homogenization of an elastic scattering problem for highly oscillating anisotropic medium

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