Standing Waves for Discrete Nonlinear Schrödinger Equations with Nonperiodic Bounded Potentials

被引：0
|
作者：
Tie-shan He
Meng Zhang
Kai-hao Liang
Peng-fei Guo
机构：
[1] Zhongkai University of Agriculture and Engineering,College of Computation Science
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2019年 / 35卷
关键词：
Discrete nonlinear Schrödinger equation; Standing wave; Nonperiodic bounded potential; Sign-changing solution; Critical point theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate standing waves in discrete nonlinear Schrödinger equations with nonperiodic bounded potentials. By using the critical point theory and the spectral theory of self-adjoint operators, we prove the existence and infinitely many sign-changing solutions of the equation. The results on the exponential decay of standing waves are also provided.
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页码：374 / 385
页数：11
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