Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting

Joel Fotso Tachago, Giuliano Gargiulo, Hubert Nnang +1

The $\Gamma$-limit of a family of functionals $u\mapsto {\int }_{\Omega }f\left(\frac{x}{\epsilon },\frac{x}{{\epsilon }^2},D^{s}u\right)dx$ is obtained for $s=1,2$ and when the integran…