Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson Equation
We consider the weighted sinh-Poisson equation in , on , where is a small parameter, , and is a unit ball in . By a constructive way, we prove that for any positive integer , there exists a nodal bubbling solution which concentrates at the origin and the other -points , , such that as , , where...
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| Main Authors: | , |
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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/10.1155/2013/873948 |
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| _version_ | 1832564327524073472 |
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| author | Yibin Zhang Haitao Yang |
| author_facet | Yibin Zhang Haitao Yang |
| author_sort | Yibin Zhang |
| collection | DOAJ |
| description | We consider the weighted sinh-Poisson equation in , on , where is a small parameter, , and is a unit ball in . By a constructive way, we prove that for any positive integer , there exists a nodal bubbling solution which concentrates at the origin and the other -points , , such that as , , where and is an odd integer with , or is an even integer. The same techniques lead also to a more general result on general domains. |
| format | Article |
| id | doaj-art-5a5efdff682943fd9ed971565c23986e |
| 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-5a5efdff682943fd9ed971565c23986e2025-02-03T01:11:18ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/873948873948Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson EquationYibin Zhang0Haitao Yang1College of Science, Nanjing Agricultural University, Nanjing 210095, ChinaDepartment of Mathematics, Zhejiang University, Hangzhou 310027, ChinaWe consider the weighted sinh-Poisson equation in , on , where is a small parameter, , and is a unit ball in . By a constructive way, we prove that for any positive integer , there exists a nodal bubbling solution which concentrates at the origin and the other -points , , such that as , , where and is an odd integer with , or is an even integer. The same techniques lead also to a more general result on general domains.http://dx.doi.org/10.1155/2013/873948 |
| spellingShingle | Yibin Zhang Haitao Yang Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson Equation Abstract and Applied Analysis |
| title | Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson Equation |
| title_full | Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson Equation |
| title_fullStr | Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson Equation |
| title_full_unstemmed | Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson Equation |
| title_short | Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson Equation |
| title_sort | construction of nodal bubbling solutions for the weighted sinh poisson equation |
| url | http://dx.doi.org/10.1155/2013/873948 |
| work_keys_str_mv | AT yibinzhang constructionofnodalbubblingsolutionsfortheweightedsinhpoissonequation AT haitaoyang constructionofnodalbubblingsolutionsfortheweightedsinhpoissonequation |