Homogenization of Dirichlet pseudomonotone problems with renormalized solutions in perforated domains

AbstractThe 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,∇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