The existence of multiple positive solutions for a class of semipositone Dirichlet boundary value problems
In this paper, we consider the existence of multiple positive solutions for the following singular semipositone Dirichlet boundary value problem: TeXwhere p:(0,1)?[0,+8) and f:[0,1]×[0,+8)?[0,+8) are continuous, q:(0,1)?(-8,+8) is Lebesgue integrable. Under certain local conditions and superlinear o...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Springer
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/3495 |
| _version_ | 1848744247703896064 |
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| author | Zhong, M. Zhang, Xinguang |
| author_facet | Zhong, M. Zhang, Xinguang |
| author_sort | Zhong, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider the existence of multiple positive solutions for the following singular semipositone Dirichlet boundary value problem: TeXwhere p:(0,1)?[0,+8) and f:[0,1]×[0,+8)?[0,+8) are continuous, q:(0,1)?(-8,+8) is Lebesgue integrable. Under certain local conditions and superlinear or sublinear conditions on f, by using the fixed point theorem, some sufficient conditions for the existence of multiple positive solutions are established for the case in which the nonlinearity is allowed to be sign-changing |
| first_indexed | 2025-11-14T05:58:26Z |
| format | Journal Article |
| id | curtin-20.500.11937-3495 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T05:58:26Z |
| publishDate | 2012 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-34952017-09-13T14:46:24Z The existence of multiple positive solutions for a class of semipositone Dirichlet boundary value problems Zhong, M. Zhang, Xinguang In this paper, we consider the existence of multiple positive solutions for the following singular semipositone Dirichlet boundary value problem: TeXwhere p:(0,1)?[0,+8) and f:[0,1]×[0,+8)?[0,+8) are continuous, q:(0,1)?(-8,+8) is Lebesgue integrable. Under certain local conditions and superlinear or sublinear conditions on f, by using the fixed point theorem, some sufficient conditions for the existence of multiple positive solutions are established for the case in which the nonlinearity is allowed to be sign-changing 2012 Journal Article http://hdl.handle.net/20.500.11937/3495 10.1007/s12190-010-0469-5 Springer restricted |
| spellingShingle | Zhong, M. Zhang, Xinguang The existence of multiple positive solutions for a class of semipositone Dirichlet boundary value problems |
| title | The existence of multiple positive solutions for a class of semipositone Dirichlet boundary value problems |
| title_full | The existence of multiple positive solutions for a class of semipositone Dirichlet boundary value problems |
| title_fullStr | The existence of multiple positive solutions for a class of semipositone Dirichlet boundary value problems |
| title_full_unstemmed | The existence of multiple positive solutions for a class of semipositone Dirichlet boundary value problems |
| title_short | The existence of multiple positive solutions for a class of semipositone Dirichlet boundary value problems |
| title_sort | existence of multiple positive solutions for a class of semipositone dirichlet boundary value problems |
| url | http://hdl.handle.net/20.500.11937/3495 |