TITLE:
Ground States of Nonlinear Schrödinger-Kirchhoff Type Equation
AUTHORS:
Weidan Li
KEYWORDS:
Schrödinger-Kirchhoff, Linking, Ceramisequence, Fatou’s Lemma
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.2,
February
13,
2020
ABSTRACT: In this paper, we considered with the following Schr?dinger-Kirchhoff type problem: -(a+b ∫RN|∇u|2dx)Δu + 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.