Korn's inequality for periodic solids and convergence rate of homogenization

DOI10.1080/00036810903042174zbMath1170.74040OpenAlexW2025790733WikidataQ58291840 ScholiaQ58291840MaRDI QIDQ3396365

Antonio Corbo Esposito, Giuseppe Cardone, Sergueï A. Nazarov

Publication date: 18 September 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903042174

zbMATH Keywords

elastic energy ersatzLipschitz perforationSobolev-Slobodetskii smoothness

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

Poincaré meets Korn via Maxwell: extending Korn's first inequality to incompatible tensor fields ⋮ Homogenization of the spectral Dirichlet problem for a system of differential equations with rapidly oscillating coefficients and changing sign density ⋮ Homogenization of the spectral problem for periodic elliptic operators with sign-changing density function

Cites Work

• On the boundary-value problems of the theory of elasticity and Korn's inequality
• On some homogenization problems in perforated domains with nonlinear boundary conditions
• Some homogenization problems for the system of elasticity with nonlinear boundary conditions in perforated domains
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Unnamed Item

This page was built for publication: Korn's inequality for periodic solids and convergence rate of homogenization