Ground States of Nonlinear Schrödinger-Kirchhoff Type Equation

Abstract

In this paper, we considered with the following Schrödinger-Kirchhoff type problem: -(a+b ʃRN|∇u|2dx)∇u + V(x)u = f(x,u) in RN. We put forward general assumptions on the nonlinearity f with the subcritical growth and we find a ground state solution being a minimizer of the energy functional associated with a Nehari-Pankov manifold by using a linking theorem.