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
DOI: 10.12677/pm.2012.22011, PDF, HTML,  被引量 下载: 3,579  浏览: 10,989  国家自然科学基金支持
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。
Abstract: 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. 带有非自治项的非线性Schrödinger方程的基态解的存在性[J]. 理论数学, 2012, 2(2): 62-72. http://dx.doi.org/10.12677/pm.2012.22011

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