Multiplicity of Solutions for Perturbed Nonhomogeneous Neumann Problem through Orlicz-Sobolev Spaces
We investigate the existence of multiple solutions for a class of nonhomogeneous Neumann problem with a perturbed term. By using variational methods and three critical point theorems of B. Ricceri, we establish some new sufficient conditions under which such a problem possesses three solutions in an...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/236712 |
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| _version_ | 1849401842883100672 |
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| author | Liu Yang |
| author_facet | Liu Yang |
| author_sort | Liu Yang |
| collection | DOAJ |
| description | We investigate the existence of multiple solutions for a class of nonhomogeneous Neumann problem with a perturbed term. By using variational methods and three critical point theorems of B. Ricceri, we establish some new sufficient conditions under which such a problem possesses three solutions in an appropriate Orlicz-Sobolev space. |
| format | Article |
| id | doaj-art-8bb4fdfd2a4b4f1282b463c4a37327f4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8bb4fdfd2a4b4f1282b463c4a37327f42025-08-20T03:37:41ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/236712236712Multiplicity of Solutions for Perturbed Nonhomogeneous Neumann Problem through Orlicz-Sobolev SpacesLiu Yang0Department of Mathematics and Computational Sciences, Hengyang Normal University, Hengyang, 421008 Hunan, ChinaWe investigate the existence of multiple solutions for a class of nonhomogeneous Neumann problem with a perturbed term. By using variational methods and three critical point theorems of B. Ricceri, we establish some new sufficient conditions under which such a problem possesses three solutions in an appropriate Orlicz-Sobolev space.http://dx.doi.org/10.1155/2012/236712 |
| spellingShingle | Liu Yang Multiplicity of Solutions for Perturbed Nonhomogeneous Neumann Problem through Orlicz-Sobolev Spaces Abstract and Applied Analysis |
| title | Multiplicity of Solutions for Perturbed Nonhomogeneous Neumann Problem through Orlicz-Sobolev Spaces |
| title_full | Multiplicity of Solutions for Perturbed Nonhomogeneous Neumann Problem through Orlicz-Sobolev Spaces |
| title_fullStr | Multiplicity of Solutions for Perturbed Nonhomogeneous Neumann Problem through Orlicz-Sobolev Spaces |
| title_full_unstemmed | Multiplicity of Solutions for Perturbed Nonhomogeneous Neumann Problem through Orlicz-Sobolev Spaces |
| title_short | Multiplicity of Solutions for Perturbed Nonhomogeneous Neumann Problem through Orlicz-Sobolev Spaces |
| title_sort | multiplicity of solutions for perturbed nonhomogeneous neumann problem through orlicz sobolev spaces |
| url | http://dx.doi.org/10.1155/2012/236712 |
| work_keys_str_mv | AT liuyang multiplicityofsolutionsforperturbednonhomogeneousneumannproblemthroughorliczsobolevspaces |