Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations

Lucia Scardia, Konstantinos Zemas, Caterina Ida Zeppieri

In this paper we study the convergence of integral functionals with $q$-growth in a randomly perforated domain of ${\mathbb{R}}^n$, with $1<q<n$. Under the assumption that the perfora…