$\Gamma$-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals

Annika Bach, Roberta Marziani, Caterina Ida Zeppieri

We study the limit behaviour of singularly-perturbed elliptic functionals of the form \[ \mathcal F_k(u,v)=\int_A v^2\,f_k(x,\nabla u)dx+\frac{1}{\varepsilon_k}\int_A g_k(x,v,\vare…