Reiterated homogenization of monotone operators

In this Note we study reiterated homogenization of nonlinear equations of the form div(a(x=";x=" 2 ; Du")) = f ,w herea is periodic in the first two arguments and monotone in the third. We state that u" converges weakly in W 1;p () (and even in some multiscale sense), as "! 0, to the solution u0 of a limit problem. Moreover, we give an explicit expression for the limit problem. © 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS