Three solutions to Dirichlet problems for second-order self-adjoint difference equations involving p-Laplacian

被引：4

作者：

Xiong, Feng ^{[1
,2
]}

Zhou, Zhan ^{[1
,2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

[2] Guangzhou Univ, Ctr Appl Math, Guangzhou 510006, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Three solutions; p-Laplacian; Self-adjoint; Boundary value problem; Critical point theory; BOUNDARY-VALUE-PROBLEMS; DISCRETE PHI-LAPLACIAN; POSITIVE SOLUTIONS; HOMOCLINIC SOLUTIONS; DYNAMIC EQUATIONS; EXISTENCE; ORBITS; OSCILLATION;

D O I：

10.1186/s13662-021-03350-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper derives several sufficient conditions for the existence of three solutions to the Dirichlet problem for a second-order self-adjoint difference equation involving p-Laplacian through the critical point theory. Furthermore, by using the strong maximum principle, we prove that the three solutions are positive under appropriate assumptions on the nonlinearity. Finally, we present three examples to confirm our results.

引用

页数：15

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