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arXiv · 2507.16386

Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces

Michela Eleuteri·Luca Lussardi·Andrea Torricelli·Elvira Zappale
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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 $Γ$-limit is a tangential quasiconvex integrand represented by a cell formula.

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Michela Eleuteri, Luca Lussardi, Andrea Torricelli, Elvira Zappale. 2025-07-22. Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces. https://arxiv.org/abs/2507.16386

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