Abstract
In this paper, we prove the existence of solutions to unilateral problems involving nonlinear operators of the form
Au + H(x, u, del u) = f
where A is a Leray Lions operator from W-0(1,p)(Omega) into its dual W--1,W-p'(Omega) and H(x, u, del u) is a nonlinearity which satisfies the following growth condition \H(x, s, xi)\ <= gamma (x)+g(s)\xi\(p) with gamma is an element of L-1(Omega) and g is an element of L-1(R), and without assuming any sign condition on H(x, s, xi). The right hand side f belongs to L-1(Omega).