理论数学

Vol.2 No.2 (April 2012)

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 :广东工业大学应用数学学院

 

关键词:

非线性Schrödinger方程基态解集中紧致原理Nonlinear Schrödinger Equation Ground State Solutions Concentration Compactness

 

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 .

文章引用:

朱红波 (2012) 带有非自治项的非线性Schrödinger方程的基态解的存在性。 理论数学, 2, 62-72. doi: 10.12677/pm.2012.22011

 

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