Existence of solution for quasilinear degenerated elliptic unilateral problems (Q1431000)

From authors' abstract: An existence theorem is proved, for a quasilinear degenerated elliptic inequality involving nonlinear operators of the form \(Au+ g(x,u,\nabla u)\), where \(A\) is a Leray-Lions operator from \(W^{1,p}_0(\Omega, w)\) into its dual, while \(g(x, s,\xi)\) is a nonlinear term which has a growth condition with respect to \(\xi\) and no growth with respect to \(s\), but it satisfies a sign condition on \(s\), the second term belongs to \(W^{-1,p'}(\Omega, w^*)\).