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

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 Schrödinger equations in planar exterior domains. Some examples are also given to demonstrate the appl...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2017-09, Vol.321, p.478-486
Main Authors: Sun, Yan, Liu, Lishan, Wu, Yonghong
Format: Article
Language:English
Subjects:
Fixed point
Nonlinear Schrödinger equation
Positive solutions
Weighted norm
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Summary: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 Schrödinger equations in planar exterior domains. Some examples are also given to demonstrate the application of our main results.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2017.02.036