Existence of positive solutions for a class of second-order discrete problems with p-Laplace operators(一类带p-Laplace算子的二阶离散问题正解的存在性)
We obtain the existence and multiplicity of positive solutions for a class of second-order discrete p-Laplace problems with Dirichlet boundary conditions by using the upper and lower solution method; The obtained results are then extended to the corresponding second-order discrete p-Laplace systems....
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| Main Authors: | , |
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| Format: | Article |
| Language: | Chinese |
| Published: |
Zhejiang University Press
2025-05-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2025.03.008 |
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| Summary: | We obtain the existence and multiplicity of positive solutions for a class of second-order discrete p-Laplace problems with Dirichlet boundary conditions by using the upper and lower solution method; The obtained results are then extended to the corresponding second-order discrete p-Laplace systems.运用上下解方法证明了一类带Dirichlet边界条件的二阶离散p-Laplace问题正解的存在性和多解性；并将所得结果推广至相应的二阶离散p-Laplace系统。 |
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| ISSN: | 1008-9497 |