Abstract
We present an extension of the two‐scale convergence method to the homogenization of monotone Dirichlet problems in periodically perforated domains, with critical size. The case of operators of order p strictly less than the dimension N of the space was considered in a previous paper. The case p=N presents several differences because it is a limit case for the Sobolev's imbedding theorem. Its study is the aim of this paper.