Briane, MarcCasado Díaz, Juan2016-06-102016-06-102014Briane, M. y Casado Díaz, J. (2014). Homogenization of systems with equi-integrable coefficients. ESAIM: Control, Optimisation and Calculus of Variations, 20 (4), 1214-1223.1292-81191262-3377http://hdl.handle.net/11441/42101In this paper we prove a H-convergence type result for the homogenization of systems the coefficients of which satisfy a functional ellipticity condition and a strong equi-integrability condition. The equi-integrability assumption allows us to control the fact that the coefficients are not equi-bounded. Since the truncation principle used for scalar equations does not hold for vector-valued systems, we present an alternative approach based on an approximation result by Lipschitz functions due to Acerbi and Fusco combined with a Meyers Lp-estimate adapted to the functional ellipticity condition. The present framework includes in particular the elasticity case and the reinforcement by stiff thin fibers.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Homogenizationvector-valued systemsnot equi-bounded coefficientsequi-integrable coefficientsH-convergenceinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1051/cocv/2014013