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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 1687-1847 |