On a Class of Nonlinear Elliptic Equations with General Growth in the Gradient
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 −Δpu=β|∇u|q+c|u|p−2u+finΩ,u=0on∂Ω, where Ω is an open bounded subset of RN, N≥2, 1<p<N, Δpu is the so-called p-Laplace operator, and p−1<q<p. We assume that β is a positive constant, c …