On the existence of a positive solution for a semilinear elliptic equation in the upper half space
We show the existence of a nontrivial solution to the semilinear elliptic equation −Δu+u=b(x)|u|p−2u, u>0, u∈H01(ℝ+N) under some suitable conditions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337502000726 |
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| _version_ | 1832552829145841664 |
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| author | Chen Shaowei Li Yongqing |
| author_facet | Chen Shaowei Li Yongqing |
| author_sort | Chen Shaowei |
| collection | DOAJ |
| description | We show the existence of a nontrivial solution to the
semilinear elliptic equation −Δu+u=b(x)|u|p−2u, u>0, u∈H01(ℝ+N) under some suitable
conditions. |
| format | Article |
| id | doaj-art-203ac372d8f545909fe383a4d78c33e8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-203ac372d8f545909fe383a4d78c33e82025-02-03T05:57:43ZengWileyAbstract and Applied Analysis1085-33751687-04092002-01-0171293310.1155/S1085337502000726On the existence of a positive solution for a semilinear elliptic equation in the upper half spaceChen Shaowei0Li Yongqing1Department of Mathematics, Fujian Normal University, Fuzhou, Fujian 35007, ChinaDepartment of Mathematics, Fujian Normal University, Fuzhou, Fujian 35007, ChinaWe show the existence of a nontrivial solution to the semilinear elliptic equation −Δu+u=b(x)|u|p−2u, u>0, u∈H01(ℝ+N) under some suitable conditions.http://dx.doi.org/10.1155/S1085337502000726 |
| spellingShingle | Chen Shaowei Li Yongqing On the existence of a positive solution for a semilinear elliptic equation in the upper half space Abstract and Applied Analysis |
| title | On the existence of a positive solution for a semilinear elliptic
equation in the upper half space |
| title_full | On the existence of a positive solution for a semilinear elliptic
equation in the upper half space |
| title_fullStr | On the existence of a positive solution for a semilinear elliptic
equation in the upper half space |
| title_full_unstemmed | On the existence of a positive solution for a semilinear elliptic
equation in the upper half space |
| title_short | On the existence of a positive solution for a semilinear elliptic
equation in the upper half space |
| title_sort | on the existence of a positive solution for a semilinear elliptic equation in the upper half space |
| url | http://dx.doi.org/10.1155/S1085337502000726 |
| work_keys_str_mv | AT chenshaowei ontheexistenceofapositivesolutionforasemilinearellipticequationintheupperhalfspace AT liyongqing ontheexistenceofapositivesolutionforasemilinearellipticequationintheupperhalfspace |