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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:321

Article

Sun, Yan¹  Liu, Lishan^2,3  Wu, Yonghong³ 

[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

关键词: Nonlinear Schrodinger equation;    Positive solutions;    Fixed point;    Weighted norm;   

DOI  :  10.1016/j.cam.2017.02.036

来源: Elsevier

【 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.

【 授权许可】

Free