Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces
Analysis of PDEs
2025-07-23 v1
Abstract
We study simultaneous homogenization and dimensional reduction of integral functionals for maps in manifold-valued Sobolev spaces. Due to the superlinear growth regime, we prove that the density of the -limit is a tangential quasiconvex integrand represented by a cell formula.
Keywords
Cite
@article{arxiv.2507.16386,
title = {Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces},
author = {Michela Eleuteri and Luca Lussardi and Andrea Torricelli and Elvira Zappale},
journal= {arXiv preprint arXiv:2507.16386},
year = {2025}
}