Standing Waves for Discrete Nonlinear Schrodinger Equations with Nonperiodic Bounded Potentials  

作　　者：Tie-shan HE Meng ZHANG Kai-hao LIANG Peng-fei GUO 

机构地区：[1]College of Computation Science,Zhongkai University of Agriculture and Engineering

出　　处：《Acta Mathematicae Applicatae Sinica》2019年第2期374-385,共12页应用数学学报（英文版）

基　　金：Supported by Science and technology plan foundation of Guangzhou(No.201607010218);by Public Research&Capacity-Building Project of Guangdong(No.2015A070704059).

摘　　要：In this paper, we investigate standing waves in discrete nonlinear Schr?dinger 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.In this paper, we investigate standing waves in discrete nonlinear Schr?dinger 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.

关 键 词：Discrete nonlinear Schrodinger equation Standing wave Nonperiodic bounded potential Sign-changing solution Critical point theory 

分 类 号：O1[理学—数学]