Periodic homogenization for convex functionals using Mosco convergence
نویسندگان
چکیده
We study the relationship between the Mosco convergence of a sequence of convex proper lower semicontinuous functionals, defined on a reflexive Banach space, and the convergence of their subdifferentiels as maximal monotone graphs. We then apply these results together with the unfolding method (see [10]) to study the homogenization of equations of the form − div dε = f , with (∇uε(x), dε(x)) ∈ ∂φε(x) where φε(x, .) is a Carathéodory convex function with suitable growth and coercivity conditions.
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