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二阶p-Laplace多参数离散周期边值问题三个解的存在性

Existence of Three Solutions for Second-order p-Laplace Discrete Periodic Boundary Problems Involving Multi-parameter
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摘要 研究了二阶p-Laplace含多个参数的非线性离散周期边值问题,获得了非线性项在更一般的情形下三个解的存在性定理.主要结论的证明基于临界点理论. In this paper,we consider the second-order p-Laplace nonlinear discrete periodic boundary problems with multi-parameter,we obtain the existence of solutions for nonlinear term in more general conditions.The proof of the main result is based on the critical point theory.
作者 王燕霞 高承华 王静
机构地区 西北师范大学数学与统计学院
出处 《数学的实践与认识》 北大核心 2016年第15期289-296,共8页 Mathematics in Practice and Theory
基金 国家自然科学基金(11401479 11361054) 甘肃省自然科学基金(145RJYA237) 中国博士后科学基金(2014M562472)
关键词 离散周期边值问题 多个参数 三个解 临界点理论 LIPSCHITZ条件 discrete periodic boundary value problem multi-parameter three solutions critical point theory Lipschitz condition
分类号 O175.8 [理学—基础数学]
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参考文献18

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二级参考文献6

  • 1Li-Hua Bian,Hong-Rui Sun,Quan-Guo Zhang.Solutions for discrete p-Laplacian periodic boundary value problems via critical point theory[J].Journal of Difference Equations and Applications.2012(3)
  • 2Gabriele Bonanno,Giuseppina D’Aguì,Pavel Drábek.Multiplicity Results for a Perturbed Elliptic Neumann Problem[J].Abstract and Applied Analysis.2010
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  • 6苑成军,文香丹,蒋达清.EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR SINGULAR 2mth-ORDER CONTINUOUS AND DISCRETE LIDSTONE BOUNDARY VALUE PROBLEMS[J].Acta Mathematica Scientia,2011,31(1):281-291. 被引量：1

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数学的实践与认识
2016年 第15期

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