Homogenization of nonconvex integrals with convex growth
Omar Anza Hafsa, Jean-Philippe Mandallena
TL;DR
This paper investigates the homogenization process of certain variational integrals with nonconvex energy densities that are constrained within convex sets, using Gamma-convergence to analyze the limiting behavior.
Contribution
It introduces a homogenization framework for nonconvex integrals with convex growth conditions, extending previous results to cases with integrands taking infinite values outside convex sets.
Findings
Established Gamma-convergence results for nonconvex integrals with convex growth.
Extended homogenization theory to integrands with infinite values outside convex sets.
Provided conditions under which homogenization can be successfully applied in this context.
Abstract
We study homogenization by Gamma-convergence of periodic multiple integrals of the calculus of variations when the integrand can take infinite values outside of a convex set of matrices.
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