Archivio Istituzionale della RicercaWe 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 Γ-convergence, providing an integral representation result in the space of manifold constrained functions with bounded variation
Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space / Lussardi, Luca; Torricelli, Andrea; Zappale, Elvira. - In: MATHEMATICS IN ENGINEERING. - ISSN 2640-3501. - 8:3(2026), pp. 368-401. [10.3934/mine.2026012]
Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space
Lussardi, Luca;Torricelli, Andrea;Zappale, Elvira
2026
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 Γ-convergence, providing an integral representation result in the space of manifold constrained functions with bounded variation
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https://hdl.handle.net/11583/3010685