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.

Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces / Eleuteri, Michela; Lussardi, Luca; Torricelli, Andrea; Zappale, Elvira. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - 91:(2026), pp. 1-14. [10.1016/j.nonrwa.2025.104579]

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

Lussardi, Luca;Torricelli, Andrea;Zappale, Elvira
2026

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/3005935