Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions
The paper considers the existence of multiple solutions of the singular nonlocal elliptic problem , , = , on , where , . By the variational method on the Nehari manifold, we prove that the problem has at least two positive solutions when some conditions are satisfied.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/516093 |
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| _version_ | 1832552699226226688 |
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| author | Zonghu Xiu Caisheng Chen |
| author_facet | Zonghu Xiu Caisheng Chen |
| author_sort | Zonghu Xiu |
| collection | DOAJ |
| description | The paper considers the existence of multiple solutions of the singular nonlocal elliptic problem , , = , on , where , . By the variational method on the Nehari manifold, we prove that the problem has at least two positive solutions when some conditions are satisfied. |
| format | Article |
| id | doaj-art-3993ddf09b8643ec80a120b8426b3f5d |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-3993ddf09b8643ec80a120b8426b3f5d2025-02-03T05:58:02ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/516093516093Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary ConditionsZonghu Xiu0Caisheng Chen1Science and Information College, Qingdao Agricultural University, Qingdao 266109, ChinaCollege of Science, Hohai University, Nanjing 210098, ChinaThe paper considers the existence of multiple solutions of the singular nonlocal elliptic problem , , = , on , where , . By the variational method on the Nehari manifold, we prove that the problem has at least two positive solutions when some conditions are satisfied.http://dx.doi.org/10.1155/2013/516093 |
| spellingShingle | Zonghu Xiu Caisheng Chen Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions The Scientific World Journal |
| title | Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions |
| title_full | Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions |
| title_fullStr | Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions |
| title_full_unstemmed | Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions |
| title_short | Existence of Multiple Solutions for a -Kirchhoff Problem with Nonlinear Boundary Conditions |
| title_sort | existence of multiple solutions for a kirchhoff problem with nonlinear boundary conditions |
| url | http://dx.doi.org/10.1155/2013/516093 |
| work_keys_str_mv | AT zonghuxiu existenceofmultiplesolutionsforakirchhoffproblemwithnonlinearboundaryconditions AT caishengchen existenceofmultiplesolutionsforakirchhoffproblemwithnonlinearboundaryconditions |