Calculus of Variations and Geometric Measure Theory

L. Lussardi - A. Torricelli - E. Zappale

Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space

created by lussardi on 24 Jul 2025

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Inserted: 24 jul 2025
Last Updated: 24 jul 2025

Year: 2025

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 $\Gamma$-convergence, providing an integral representation result in the space of manifold constrained functions with bounded variation.


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