A Liouville Type Result for Schrödinger Equation on Half-Spaces
We consider a nonlinear Schrödinger equation with a singular potential on half spaces. Using a Hardy-type inequality and the moving plane method, we obtain a Liouville type result for its nonnegative solutions.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/957468 |
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| _version_ | 1832556923453440000 |
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| author | Baiyu Liu |
| author_facet | Baiyu Liu |
| author_sort | Baiyu Liu |
| collection | DOAJ |
| description | We consider a nonlinear Schrödinger equation with a singular potential on half spaces. Using a Hardy-type inequality and the moving plane method, we obtain a Liouville type result for its nonnegative solutions. |
| format | Article |
| id | doaj-art-e9fa9d3d8fec4d72a351b811a941ee75 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e9fa9d3d8fec4d72a351b811a941ee752025-02-03T05:44:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/957468957468A Liouville Type Result for Schrödinger Equation on Half-SpacesBaiyu Liu0School of Mathematics and Physics, University of Science and Technology, Beijing, 30 Xueyuan Road, Haidian District, Beijing 100083, ChinaWe consider a nonlinear Schrödinger equation with a singular potential on half spaces. Using a Hardy-type inequality and the moving plane method, we obtain a Liouville type result for its nonnegative solutions.http://dx.doi.org/10.1155/2013/957468 |
| spellingShingle | Baiyu Liu A Liouville Type Result for Schrödinger Equation on Half-Spaces Abstract and Applied Analysis |
| title | A Liouville Type Result for Schrödinger Equation on Half-Spaces |
| title_full | A Liouville Type Result for Schrödinger Equation on Half-Spaces |
| title_fullStr | A Liouville Type Result for Schrödinger Equation on Half-Spaces |
| title_full_unstemmed | A Liouville Type Result for Schrödinger Equation on Half-Spaces |
| title_short | A Liouville Type Result for Schrödinger Equation on Half-Spaces |
| title_sort | liouville type result for schrodinger equation on half spaces |
| url | http://dx.doi.org/10.1155/2013/957468 |
| work_keys_str_mv | AT baiyuliu aliouvilletyperesultforschrodingerequationonhalfspaces AT baiyuliu liouvilletyperesultforschrodingerequationonhalfspaces |