Existence of solutions for variational degenerated unilateral problems

An existence result is proved for a variational degenerated unilateral problems associated to the following equations Au + y(x, u, del u) = f, where A is a Leray-Lions operator acting from the weighted Sobolev space W(0)(1,p)(Omega, w) into its dual W(-1,p')(Omega, w*), while g(x, s, xi) is a nonlinear term winch has a growth condition with respect to xi and a sign condition on s, i.e. g(x, s, xi).s >= 0 for every s is an element of R and for every x and xi in their respective domains. The source term f is supposed to belong to W(-1,p')(Omega, w*) .