Multiscale homogenization of convex functionals with discontinuous integrand

Marco Barchiesi

This article is devoted to obtain the $\Gamma$-limit, as $\epsilon$ tends to zero, of the family of functionals $$F_{\epsilon }(u)={\int }_{\Omega }f(x,\frac{x}{\epsilon },...,\frac{x}{{\epsilon }^n},\nabla u(x))dx$$, wher…