Solutions for a Nonhomogeneous Nonlinear Schroedinger Equation with Double Power Nonlinearity

Abstract

We consider the problem -Δu+V(x)u = f'(u)+g(x) in RN, under the assumption limx \rightarrow \infty V (x) = 0, and with the non linear term f with a double power behavior. We prove the existence two solutions when g is sufficiently small and V < 0.