Variational convergences under moving anisotropies
Analysis of PDEs
2025-04-04 v1
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 -convergence results, and apply the latter to the study of -convergence of anisotropic linear differential operators.
Cite
@article{arxiv.2504.02552,
title = {Variational convergences under moving anisotropies},
author = {Alberto Maione and Fabio Paronetto and Simone Verzellesi},
journal= {arXiv preprint arXiv:2504.02552},
year = {2025}
}