Solutions of a nonlinear Dirac equation with external fields

doi:10.1007/s00205-008-0163-z

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	Solutions of a nonlinear Dirac equation with external fields
	Ding, Yanheng1 ; Ruf, Bernhard 2
	2008-10-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	190 期号:1 页码:57-82
摘要	We study the stationary Dirac equation: -ic (h) over bar Sigma(3)(k=1) alpha(k)partial derivative(k)u + mc(2)beta u + M(x)u = R-u(x, u) where M(x) is a matrix potential describing the external field, and R(x, u) stands for an asymptotically quadratic nonlinearity modeling various types of interaction without any periodicity assumption. For (h) over bar fixed our discussion includes the Coulomb potential as a special case, and for the semiclassical situation ((h) over bar -> 0), we handle the scalar fields. We obtain existence and multiplicity results of stationary solutions via critical point theory.
DOI	10.1007/s00205-008-0163-z
语种	英语
资助项目	NSF[10640420049] ; Key fund from Beijing in China
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000258653300002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5420
专题	数学所
通讯作者	Ding, Yanheng
作者单位	1.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China 2.Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
推荐引用方式 GB/T 7714	Ding, Yanheng,Ruf, Bernhard. Solutions of a nonlinear Dirac equation with external fields[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2008,190(1):57-82.
APA	Ding, Yanheng,&Ruf, Bernhard.(2008).Solutions of a nonlinear Dirac equation with external fields.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,190(1),57-82.
MLA	Ding, Yanheng,et al."Solutions of a nonlinear Dirac equation with external fields".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 190.1(2008):57-82.