Multiplicity of Nontrivial Solutions for a Class of Nonlocal Elliptic Operators Systems of Kirchhoff Type
We investigate the existence and multiplicity of nontrivial solutions for a Kirchhoff type problem involving the nonlocal integrodifferential operators with homogeneous Dirichlet boundary conditions. The main tool used for obtaining our result is Morse theory.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/953846 |
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| _version_ | 1832556236537593856 |
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| author | Yuping Cao Chuanzhi Bai |
| author_facet | Yuping Cao Chuanzhi Bai |
| author_sort | Yuping Cao |
| collection | DOAJ |
| description | We investigate the existence and multiplicity of nontrivial solutions for a Kirchhoff type problem involving the nonlocal integrodifferential operators with homogeneous Dirichlet boundary conditions. The main tool used for obtaining our result is Morse theory. |
| format | Article |
| id | doaj-art-f8628f25a025443ba844d2cd74bb57c5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f8628f25a025443ba844d2cd74bb57c52025-02-03T05:46:08ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/953846953846Multiplicity of Nontrivial Solutions for a Class of Nonlocal Elliptic Operators Systems of Kirchhoff TypeYuping Cao0Chuanzhi Bai1Department of Basic Courses, Lianyungang Technical College, Lianyungang, Jiangsu 222000, ChinaDepartment of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, ChinaWe investigate the existence and multiplicity of nontrivial solutions for a Kirchhoff type problem involving the nonlocal integrodifferential operators with homogeneous Dirichlet boundary conditions. The main tool used for obtaining our result is Morse theory.http://dx.doi.org/10.1155/2014/953846 |
| spellingShingle | Yuping Cao Chuanzhi Bai Multiplicity of Nontrivial Solutions for a Class of Nonlocal Elliptic Operators Systems of Kirchhoff Type Abstract and Applied Analysis |
| title | Multiplicity of Nontrivial Solutions for a Class of Nonlocal Elliptic Operators Systems of Kirchhoff Type |
| title_full | Multiplicity of Nontrivial Solutions for a Class of Nonlocal Elliptic Operators Systems of Kirchhoff Type |
| title_fullStr | Multiplicity of Nontrivial Solutions for a Class of Nonlocal Elliptic Operators Systems of Kirchhoff Type |
| title_full_unstemmed | Multiplicity of Nontrivial Solutions for a Class of Nonlocal Elliptic Operators Systems of Kirchhoff Type |
| title_short | Multiplicity of Nontrivial Solutions for a Class of Nonlocal Elliptic Operators Systems of Kirchhoff Type |
| title_sort | multiplicity of nontrivial solutions for a class of nonlocal elliptic operators systems of kirchhoff type |
| url | http://dx.doi.org/10.1155/2014/953846 |
| work_keys_str_mv | AT yupingcao multiplicityofnontrivialsolutionsforaclassofnonlocalellipticoperatorssystemsofkirchhofftype AT chuanzhibai multiplicityofnontrivialsolutionsforaclassofnonlocalellipticoperatorssystemsofkirchhofftype |