%0 Journal Article %T 带有非自治项的非线性Schrödinger方程的基态解的存在性
Ground States of Nonlinear Schrödinger Equation with Non-Autonomous Nonlinearity %A 朱红波 %J Pure Mathematics %P 62-72 %@ 2160-7605 %D 2012 %I Hans Publishing %R 10.12677/pm.2012.22011 %X 本文考虑如下形式的非线性Schr？dinger方程 $\{^{-\Delta u+V(x)u(x)=f(x,u),x\in R^N}_{u\in H^1(R^N),N\ge 3}$ (P)。利用有界区域逼近和集中紧致原理，当位势函数 $V(X)$ 不恒等于常数，非线性项 $f(x,u)$ 不恒等于 $f(u)$ ，本文证明了方程(P)存在最低能量解。
In this paper, we are concerned with the following nonlinear Schr？dinger equation
$\{^{-\Delta u+V(x)u(x)=f(x,u),x\in R^N}_{u\in H^1(R^N),N\ge 3}$ (P). By using the bounded domain approximate scheme and concen-tration compactness principle, we prove the existence of a ground state solution of (P) on the Nehari manifold when $V(x)\ne$ constant and $f(x,u)\ne f(u)$ . %K 非线性Schrö %K dinger方程；基态解；集中紧致原理
Nonlinear Schrö %K dinger Equation %K Ground State Solutions %K Concentration Compactness %U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=610