Standing Waves Solutions for the Discrete Schrodinger Equations with Resonance

被引：1

作者：

Wang, Zhenguo ^{[1
]}

Li, Qiuying ^{[2
]}

机构：

[1] Taiyuan Univ, Dept Math, Taiyuan 030032, Shanxi, Peoples R China

[2] Huanghuai Univ, Sch Math & Stat, Zhumadian 463000, Henan, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 05期

关键词：

Discrete nonlinear Schrodinger equations; Standing wave; Critical sequence; Resonance; Linking methods; BOUNDARY-VALUE PROBLEM; DIFFERENCE-EQUATIONS; HOMOCLINIC SOLUTIONS; GAP SOLITONS; POSITIVE SOLUTIONS; EXISTENCE; PROPAGATION;

D O I：

10.1007/s40840-023-01530-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using linking methods, we obtain the existence of the nontrivial standing wave solutions for the discrete nonlinear Schr & ouml;dinger equations with resonance and unbounded potentials. In order to prove the existence of standing wave solutions, we give resonant condition to find a bounded critical sequence, and we show that such a sequence guarantees the existence of one nontrivial standing wave solution in l(2) when the nonlinearity is resonant and the potential is unbounded. To the best of the our knowledge, there is no existence results for the discrete nonlinear Schr & ouml;dinger equations with resonance in the literature.

引用

页数：17

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