Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space
Analysis of PDEs
2025-07-25 v1
Abstract
We study the simultaneous homogenization and dimension reduction of an energy functional with linear growth defined on the space of manifold valued Sobolev functions. The study is carried out by -convergence, providing an integral representation result in the space of manifold constrained functions with bounded variation
Cite
@article{arxiv.2507.18390,
title = {Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space},
author = {Luca Lussardi and Andrea Torricelli and Elvira Zappale},
journal= {arXiv preprint arXiv:2507.18390},
year = {2025}
}