Standing waves of nonlinear Schrodinger equations with the gauge field

被引：108
|
作者：
Byeon, Jaeyoung [1 ]
Huh, Hyungjin [2 ]
Seok, Jinmyoung [1 ]
机构：
[1] POSTECH, Dept Math, Pohang 790784, Kyungbuk, South Korea
[2] Chung Ang Univ, Dept Math, Seoul 156756, South Korea
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2012年 / 263卷 / 06期
基金：
新加坡国家研究基金会;
关键词：
Schrodinger; Nonlocal potential; Standing waves; Variational methods; MAXWELL EQUATIONS; SOLITARY WAVES;
D O I：
10.1016/j.jfa.2012.05.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study standing waves for nonlinear Schrodinger equations with the gauge field. Some existence results of standing waves are established by applying variational methods to the functional which is obtained by representing the gauge field A(mu) in terms of complex scalar field phi. We also show that there exists no standing wave for certain range of parameters by establishing a new inequality of Sobolev type. (C) 2012 Elsevier Inc. All rights reserved.
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页码：1575 / 1608
页数：34
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