UNIFORMLY NONLINEAR ELLIPTIC PROBLEMS WITH OBSTACLE

We prove an existence result for solutions to a class of unilateral problems for the nonlinear elliptic equation whose prototype is -div(vertical bar del u vertical bar(p-2) del u) + b(x)vertical bar del u vertical bar(lambda) = f - divF in Omega, where Omega is a bounded open set of R-N, N >= 2, 1 < p < N, 0 <= lambda <= p -1, b(x) belongs to the Lorentz space L-N,L-1 (Omega), f is an element of L-1(Omega) and F is an element of (L-p' (Omega))(N), p' = p/(p - 1).