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, whose model is {-Δpu=H(u)μinΩ,u>0inΩ,u=0on∂Ω.Here Ω is an open bounded subset of RN (N≥ 2), Δ pu: = div (| ∇ u| p-2∇ u) (1 < p< N) is the p-laplacian operator, μ is a nonnegative bounded Radon measure on Ω 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.