POSITIVE SOLUTIONS OF THE DISCRETE ROBIN PROBLEM WITH φ-LAPLACIAN

被引：8
|
作者：
Ling, Jiaoxiu [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：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 09期
基金：
中国国家自然科学基金;
关键词：
-Laplacian; boundary value problems; infinitely many positive solutions; critical point theory;   The discrete Robin problem; NONLINEAR DIFFERENCE-EQUATIONS; BOUNDARY-VALUE-PROBLEMS; HOMOCLINIC SOLUTIONS; SUBHARMONIC SOLUTIONS; HAMILTONIAN-SYSTEMS; ORBITS; EXISTENCE;
D O I：
10.3934/dcdss.2020338
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by using critical point theory, we obtain some sufficient conditions on the existence of infinitely many positive solutions of the discrete Robin problem with-Laplacian. We show that, an unbounded sequence of positive solutions and a sequence of positive solutions which converges to zero will emerge from the suitable oscillating behavior of the nonlinear term at infinity and at the zero, respectively. We also give two examples to illustrate our main results.
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页码：3183 / 3196
页数：14
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