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arXiv · 2504.02552

Variational convergences under moving anisotropies

Alberto Maione·Fabio Paronetto·Simone Verzellesi
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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, Poincar\'e 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.

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Alberto Maione, Fabio Paronetto, Simone Verzellesi. 2025-04-03. Variational convergences under moving anisotropies. https://arxiv.org/abs/2504.02552

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