带有 p-Laplace 算子的离散混合周期边值问题正解的存在性
Existence of Positive Solutions for Discrete Mixed Periodic Boundary Value Problem Involving the p-Laplacian
DOI: 10.12677/PM.2021.115108, PDF, 下载: 328  浏览: 1,723  国家自然科学基金支持
作者: 李慧娟：西北师范大学, 数学与统计学院, 甘肃 兰州
关键词: 差分方程；临界点理论；混合周期边界条件；Difference Equation； Critical Point Theory； Mixed Periodic Boundary Conditions
摘要: 运用山路引理研究带有 p-Laplace 算子的二阶离散混合周期边值问题 正解的存在性, 并获得了两个正解的存在性结果。
Abstract: By applying the mountain pass lemma, we consider the existence of positive solutions for a second order discrete mixed periodic boundary value problem involving the p- Laplacian as follow and the existence of two positive solutions is obtained.
文章引用：李慧娟. 带有 p-Laplace 算子的离散混合周期边值问题正解的存在性[J]. 理论数学, 2021, 11(5): 946-953. https://doi.org/10.12677/PM.2021.115108

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