Homogenization of systems with equi-integrable coefficients

DOI10.1051/COCV/2014013zbMath1326.35020OpenAlexW2011334113MaRDI QIDQ2926574

Juan Casado-Díaz, Marc Briane

Publication date: 31 October 2014

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2014013

zbMATH Keywords

homogeneous Dirichlet boundary conditionsH-convergenceLusin approximationequi-integrable coefficientsMeyers inequalitynot equi-bounded coefficientsvector-valued systems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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A new div-curl result. applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian ⋮ \(\Gamma\)-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients ⋮ High‐contrast homogenization of linear systems of partial differential equations

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