文章基本信息

标题：Three solutions for a partial discrete Dirichlet boundary value problem with p -Laplacian
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作者：Shaohong Wang ; Zhan Zhou
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13661-021-01514-9
出版社：Hindawi Publishing Corporation
摘要：By employing critical point theory, we investigate the existence of solutions to a boundary value problem for a p-Laplacian partial difference equation depending on a real parameter. To be specific, we give precise estimates of the parameter to guarantee that the considered problem possesses at least three solutions. Furthermore, based on a strong maximum principle, we show that two of the obtained solutions are positive under some suitable assumptions of the nonlinearity.
关键词：Boundary value problem ; Partial difference equation ; Critical point theory ; p -Laplacian