标题:
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
作者:
朱红波
关键字:
非线性Schrödinger方程, 基态解, 集中紧致原理Nonlinear Schrödinger Equation; Ground State Solutions; Concentration Compactness
期刊名称:
《Pure Mathematics》, Vol.2 No.2, 2012-04-26
摘要:
本文考虑如下形式的非线性Schrödinger方程 (P)。利用有界区域逼近和集中紧致原理,当位势函数不恒等于常数,非线性项 不恒等于 ,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 Schrödinger equation
(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 constant and .