Existence and uniqueness results for possibly singular nonlinear elliptic equations with measure data

We study existence and uniqueness of solutions to a nonlinear elliptic boundary value problem with a general, and possibly singular, lower order term in an open bounded subset of RN ( N≥2 ), Δpu:=div(|∇u|p−2∇u) ( 1<p<N ) is the p-laplacian operator, μ is a nonnegative bounded Radon measure and H(s) is a continuous, positive and finite function outside the origin which grows at most as s−γ , with γ≥0 , near zero.