Author(s)

Weidan Li

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

In this paper, we considered with the following Schr?dinger-Kirchhoff type problem: -(a+b ∫_R^N|∇u|²dx)Δu + V(x)u = f(x,u) in R^N. 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.

Schrödinger-Kirchhoff, Linking, Ceramisequence, Fatou’s Lemma

Li, W. (2020) Ground States of Nonlinear Schrödinger-Kirchhoff Type Equation. Journal of Applied Mathematics and Physics, 8, 307-314. doi: 10.4236/jamp.2020.82025.