Calculus of Variations and Geometric Measure Theory

M. Eleuteri - L. Lussardi - A. Torricelli - E. Zappale

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

created by lussardi on 24 Jul 2025
modified by eleuteri1 on 31 Jul 2026

[BibTeX]

Accepted Paper

Inserted: 24 jul 2025
Last Updated: 31 jul 2026

Journal: Nonlinear Analysis: Real World Applications
Volume: 91
Pages: 104579
Year: 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 $\Gamma$-limit is a tangential quasiconvex integrand represented by a cell formula.


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