MULTIPLE SOLUTIONS FOR SCHRODINGER LATTICE SYSTEMS WITH ASYMPTOTICALLY LINEAR TERMS AND PERTURBED TERMS

被引：0
|
作者：
Chen, Guanwei [1 ]
Schechter, Martin [2 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Schrodinger lattice systems; perturbed terms; asymptotically-linear; multiple solutions; DISCRETE NONLINEAR SCHRODINGER; PHI-LAPLACIAN EQUATIONS; GAP SOLITONS; HOMOCLINIC SOLUTIONS; EXISTENCE;
D O I：
10.3934/dcdsb.2021124
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In infinite m-dimensional lattices, we obtain the existence of two nontrivial solutions for a class of non-periodic Schrodinger lattice systems with perturbed terms, where the potentials are coercive and the nonlinearities are asymptotically linear at infinity. In addition, examples are given to illustrate our results.
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页码：2107 / 2114
页数：8
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