The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains
© 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 th...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/52585 |
| _version_ | 1848758962925600768 |
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| author | Sun, Y. Liu, Lishan Wu, Yong Hong |
| author_facet | Sun, Y. Liu, Lishan Wu, Yong Hong |
| author_sort | Sun, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 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. |
| first_indexed | 2025-11-14T09:52:20Z |
| format | Journal Article |
| id | curtin-20.500.11937-52585 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:52:20Z |
| publishDate | 2017 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-525852017-09-13T15:40:42Z 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 © 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. 2017 Journal Article http://hdl.handle.net/20.500.11937/52585 10.1016/j.cam.2017.02.036 Elsevier restricted |
| spellingShingle | Sun, Y. Liu, Lishan Wu, Yong Hong The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains |
| title | The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains |
| title_full | The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains |
| title_fullStr | The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains |
| title_full_unstemmed | The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains |
| title_short | The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains |
| title_sort | existence and uniqueness of positive monotone solutions for a class of nonlinear schrödinger equations on infinite domains |
| url | http://hdl.handle.net/20.500.11937/52585 |