Multiple solutions for non-periodic Schrodinger lattice systems with perturbation and super-linear terms

被引：7
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：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Non-periodic Schrodinger lattice systems; Perturbed terms; Super-linear; Multiple solutions; DISCRETE NONLINEAR SCHRODINGER; GAP SOLITONS; HOMOCLINIC SOLUTIONS; EQUATIONS; EXISTENCE;
D O I：
10.1007/s00033-019-1199-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain the existence of two non-trivial solutions for a class of non-periodic Schrodinger lattice systems with perturbed terms when the nonlinearities are super-linear at infinity. In addition, several examples are given to illustrate our results. Our theorems appear to be the first such result.
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页数：9
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