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

doi:10.1016/j.na.2008.01.022

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	Infinitely many solutions for a class of nonlinear Dirac equations without symmetry
	Zhao, Fukun 1,2; Ding, Yanheng 2
	2009-01-15
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	70 期号:2 页码:921-935
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.
DOI	10.1016/j.na.2008.01.022
语种	英语
资助项目	NSFC[10561011] ; NSFC[10671195] ; NSFY ; Foundation of Education ; Commission of Yunnan Province, China
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000261625300028
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8075
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Fukun
作者单位	1.Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Fukun,Ding, Yanheng. Infinitely many solutions for a class of nonlinear Dirac equations without symmetry[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2009,70(2):921-935.
APA	Zhao, Fukun,&Ding, Yanheng.(2009).Infinitely many solutions for a class of nonlinear Dirac equations without symmetry.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,70(2),921-935.
MLA	Zhao, Fukun,et al."Infinitely many solutions for a class of nonlinear Dirac equations without symmetry".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 70.2(2009):921-935.