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Pure Mathematics 2012
带有非自治项的非线性Schrödinger方程的基态解的存在性
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Abstract:
本文考虑如下形式的非线性Schr？dinger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 Schr？dinger 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
.
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