The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrodinger equations on infinite domains

被引：39
作者：
Sun, Yan [1 ]
Liu, Lishan [2 ,3 ]
Wu, Yonghong [3 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[3] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 321卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear Schrodinger equation; Positive solutions; Fixed point; Weighted norm; SEMILINEAR ELLIPTIC-EQUATIONS; CONDITIONAL ENERGETIC STABILITY; WEAK SURFACE-TENSION; WATER-WAVES; DIFFERENTIAL-EQUATIONS; VORTICITY;
D O I：
10.1016/j.cam.2017.02.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by constructing a new weighted norm method and analysis technique, we establish the conditions for the existence and uniqueness of positive monotone solutions to a class of nonlinear Schrodinger equations in planar exterior domains. Some examples are also given to demonstrate the application of our main results. (C) 2017 Published by Elsevier B.V.
引用
收藏
页码：478 / 486
页数：9
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