Discrete nonlinear Schrodinger equations with superlinear nonlinearities

被引：41
|
作者：
Chen, Guanwei [1 ]
Ma, Shiwang
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Discrete nonlinear schrodinger equations; Superlinear nonlinearities; Nontrivial solitons; Spectral gap; Spectral endpoint; GAP SOLITONS; BREATHERS; EXISTENCE; STABILITY; LATTICES; PROOF;
D O I：
10.1016/j.amc.2011.11.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the discrete nonlinear equation. Lu-n - omega u(n) = sigma chi(n)g(n)(u(n)), n is an element of Z, where x belongs to a finite spectral gap of the operator L or it is a lower edge of a finite spectral gap. By using a variant generalized weak linking theorem for strongly indefinite problem developed by Schechter and Zou, we will study the existence of nontrivial solitons for this equation with g(n) is super linear. (C) 2011 Elsevier Inc. All rights reserved.
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页码：5496 / 5507
页数：12
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