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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Hindawi Limited
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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doaj-e9fa9d3d8fec4d72a351b811a941ee752020-11-25T01:57:41ZengHindawi LimitedAbstract 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Baiyu Liu |
| spellingShingle |
Baiyu Liu A Liouville Type Result for Schrödinger Equation on Half-Spaces Abstract and Applied Analysis |
| author_facet |
Baiyu Liu |
| author_sort |
Baiyu Liu |
| title |
A Liouville Type Result for Schrödinger Equation on Half-Spaces |
| title_short |
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_sort |
liouville type result for schrödinger equation on half-spaces |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2013-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2013/957468 |
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