Homogenization of Dirichlet pseudomonotone problems with renormalized solutions in perforated domains

The present paper is devoted to study the asymptotic behaviour of the solutions of a nonlinear pseudomonotone Dirichlet problem in a sequence of arbitrary varying domains. Our results generalize the corresponding ones for monotone operators. The function a(x, u, del u) which appears in the definition of the operator is assumed to have an arbitrary growth in u. Thus, we consider renormalized solutions, which are natural for this type of problems. (C) 2000 Editions scientifiques et medicales Elsevier SAS.