Infinitely many solutions for a class of nonlinear Dirac equations without symmetry

被引：30
|
作者：
Zhao, Fukun [1 ,2 ]
Ding, Yanheng [2 ]
机构：
[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
[2] Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 02期
关键词：
SCHRODINGER-EQUATION; HAMILTONIAN SYSTEM; STATIONARY STATES; EXISTENCE; FIELD;
D O I：
10.1016/j.na.2008.01.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the multiplicity of solutions for the nonlinear Dirac equations: -i (3)Sigma(k=1) alpha(k)partial derivative(k)u + (V (x) + alpha)beta u + omega u = F-u (x, u). Without syrnmetry assumption on F, we establish the existence of inlinitely inany geornetrically distinct solutions for superquadratic as well as asymptotically quadratic nonlinearities via variational approach. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：921 / 935
页数：15
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