Existence of solutions for a multi-point boundary value problem with a p(r) $p(r)$-Laplacian
Abstract In this paper, we consider the existence of solutions to the p(r) $p(r)$-Laplacian equation with multi-point boundary conditions. Under some new criteria and by utilizing degree methods and also the Leray–Schauder fixed point theorem, the new existence results of the solutions have been est...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-12-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1846-x |
| _version_ | 1818613486179057664 |
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| author | Zhiguo Luo Jinfang Liang |
| author_facet | Zhiguo Luo Jinfang Liang |
| author_sort | Zhiguo Luo |
| collection | DOAJ |
| description | Abstract In this paper, we consider the existence of solutions to the p(r) $p(r)$-Laplacian equation with multi-point boundary conditions. Under some new criteria and by utilizing degree methods and also the Leray–Schauder fixed point theorem, the new existence results of the solutions have been established. Some results in the literature can be generalized and improved. And as an application, two examples are provided to demonstrate the effectiveness of our theoretical results. |
| first_indexed | 2024-12-16T16:02:53Z |
| format | Article |
| id | doaj.art-1746f041133d4978adea614d2d3e36a2 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-16T16:02:53Z |
| publishDate | 2018-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-1746f041133d4978adea614d2d3e36a22022-12-21T22:25:26ZengSpringerOpenAdvances in Difference Equations1687-18472018-12-012018111210.1186/s13662-018-1846-xExistence of solutions for a multi-point boundary value problem with a p(r) $p(r)$-LaplacianZhiguo Luo0Jinfang Liang1Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), College of Mathematics and Statistics, Hunan Normal UniversityDepartment of Mathematics, Hunan Normal UniversityAbstract In this paper, we consider the existence of solutions to the p(r) $p(r)$-Laplacian equation with multi-point boundary conditions. Under some new criteria and by utilizing degree methods and also the Leray–Schauder fixed point theorem, the new existence results of the solutions have been established. Some results in the literature can be generalized and improved. And as an application, two examples are provided to demonstrate the effectiveness of our theoretical results.http://link.springer.com/article/10.1186/s13662-018-1846-xp ( r ) $p(r)$ -LaplacianBoundary conditionFixed point theoremLeray–Schauder degree method |
| spellingShingle | Zhiguo Luo Jinfang Liang Existence of solutions for a multi-point boundary value problem with a p(r) $p(r)$-Laplacian Advances in Difference Equations p ( r ) $p(r)$ -Laplacian Boundary condition Fixed point theorem Leray–Schauder degree method |
| title | Existence of solutions for a multi-point boundary value problem with a p(r) $p(r)$-Laplacian |
| title_full | Existence of solutions for a multi-point boundary value problem with a p(r) $p(r)$-Laplacian |
| title_fullStr | Existence of solutions for a multi-point boundary value problem with a p(r) $p(r)$-Laplacian |
| title_full_unstemmed | Existence of solutions for a multi-point boundary value problem with a p(r) $p(r)$-Laplacian |
| title_short | Existence of solutions for a multi-point boundary value problem with a p(r) $p(r)$-Laplacian |
| title_sort | existence of solutions for a multi point boundary value problem with a p r p r laplacian |
| topic | p ( r ) $p(r)$ -Laplacian Boundary condition Fixed point theorem Leray–Schauder degree method |
| url | http://link.springer.com/article/10.1186/s13662-018-1846-x |
| work_keys_str_mv | AT zhiguoluo existenceofsolutionsforamultipointboundaryvalueproblemwithaprprlaplacian AT jinfangliang existenceofsolutionsforamultipointboundaryvalueproblemwithaprprlaplacian |