Preprint

Inserted: 3 apr 2025
Last Updated: 4 apr 2025

Year: 2025

Abstract:

We study the asymptotic behaviour of sequences of integral functionals depending on moving anisotropies. We introduce and describe the relevant functional setting, establishing uniform Meyers-Serrin type approximations, Poincaré inequalities and compactness properties. We prove several $\Gamma$-convergence results, and apply the latter to the study of $H$-convergence of anisotropic linear differential operators.

Keywords: $\Gamma$-convergence, Integral representation, local functionals, $H$-convergence, Vector fields, Anisotropic functionals, Moving anisotropies

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