  The 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 $\Gamma$-convergence analysis, techniques of two-scale
convergence and a decoupling procedure between the oscillating variable and the
in-plane variable.

Analysis of PDEs