Large solutions for an elliptic equation with a nonhomogeneous term

In this paper we study the elliptic boundary blow-up problem Δu=|u|p−1u+h(x) in Ω, where p>1, Ω is a smooth bounded domain of RN and h∈C(Ω). We are concerned with existence and uniqueness of solutions for quite general functions h, which may change sign and are not necessarily bounded near ∂Ω.