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.

引用

页码：2107 / 2114

页数：8

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