2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111702The purpose of this article is to study the behavior of a heterogeneous thin film whose microstructure oscillates on a scale that is comparable to that of the thickness of the domain. The argument is based on a 3D-2D dimensional reduction through a $Γ$-convergence analysis, techniques of two-scale convergence and a decoupling procedure between the oscillating variable and the in-plane variable.19 pagesAnalysis of PDEs35E99; 35M10; 49J45; 74B20; 74K35; 74G65; 74Q053D-2D analysis of a thin film with periodic microstructuretext