On a class of nonlinear elliptic equations with general growth in the gradient

In this paper, we prove an existence and uniqueness result for a class of Dirichlet boundary value problems whose model is (Formula presented.) (Formula presented.) (Formula presented.) (Formula presented.) where (Formula presented.) is an open bounded subset of (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.) is the so-called p-Laplace operator, and (Formula presented.). We assume that (Formula presented.) is a positive constant, c and f are measurable functions belonging to suitable Lorentz spaces. Our approach is based on Schauder fixed point theorem.