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

Sun, Y.; Liu, Lishan; Wu, Yong Hong

doi:10.1016/j.cam.2017.02.036

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Authors

Sun, Y.

Liu, Lishan

Wu, Yong Hong

Date

2017

Type

Journal Article

Metadata

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Citation

Sun, Y. and Liu, L. and Wu, Y.H. 2017. The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains. Journal of Computational and Applied Mathematics. 321: pp. 478-486.

Source Title

Journal of Computational and Applied Mathematics

DOI

10.1016/j.cam.2017.02.036

ISSN

0377-0427

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/52585

Collection

Curtin Research Publications

Abstract

© 2017In 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.