The Existence and Multiplicity of Homoclinic Solutions for a Fractional Discrete p-Laplacian Equation

被引：3
|
作者：
Wu, Yong [1 ]
Tahar, Bouali [2 ,3 ]
Rafik, Guefaifia [4 ]
Rahmoune, Abita [5 ]
Yang, Libo [6 ]
机构：
[1] Guilin Tourism Univ, Sch Tourism Data, Guilin 541006, Peoples R China
[2] Jazan Univ, Coll Sci, Dept Math, Jazan 45142, Saudi Arabia
[3] Larbi Tebessi Univ, Dept Math & Comp Sci, Tebessa 12002, Algeria
[4] Larbi Tebessi Univ, Lab Math Informat & Syst LAMIS, Tebessa 12000, Algeria
[5] Univ Laghouat, Lab Pure & Appl Math, POB 37G, Laghouat 03000, Algeria
[6] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Peoples R China
来源：
MATHEMATICS | 2022年 / 10卷 / 09期
关键词：
fractional discrete p-Laplace equation; mountain pass lemma; homoclinic solutions; Ekeland's variational principle; multiplicity of solutions; SYSTEMS;
D O I：
10.3390/math10091400
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we investigate the existence and multiplicity of solutions for a fractional discrete p-Laplacian equation on Z. Under suitable hypotheses on the potential function V and the nonlinearity f, with the aid of Ekeland's variational principle, via mountain pass lemma, we obtain that this equation exists at least two nonnegative and nontrivial homoclinic solutions when the real parameter lambda > 0 is large enough.
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页数：16
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