Ground States for Nonlinear Schrodinger Equations with a Sign-changing Potential Well

被引：0

作者：

Wang, Zhi-Qiang ^{[1
,2
]}

Xia, Jiankang ^{[3
]}

机构：

[1] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

[2] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

[3] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

来源：

ADVANCED NONLINEAR STUDIES | 2015年 / 15卷 / 04期

关键词：

Nonlinear Schrodinger equation; Sign-changing potential; Ground state solution; Modified Nehari manifold; BOUND-STATES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the ground state solutions for a class of nonlinear Schrodinger equations {-Delta u + V(x)u = lambda u + K(x)vertical bar u vertical bar(p-2) u in R-N u epsilon H-1 (R-N) where 2 < p < 2*. We investigate the case lambda > inf sigma(-Delta + V), i.e., an indefinite problem. We characterize the ground states as minimizers of the variational functional on a modified Nehari manifold.

引用

页码：749 / 762

页数：14

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