On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system

doi:10.1016/j.jde.2015.12.013

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	On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system
	Ding, Yanheng 1; Ruf, Bernhard 2
	2016-04-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	260 期号:7 页码:5565-5588
摘要	We study multiplicity of semi-classical solutions of the nonlinear Maxwell-Dirac system: {alpha, (i (h) over bar del + q(x)(A) over right arrow (x))w - a beta w - omega w - q(x)phi(x)w = f(x,vertical bar w vertical bar)w -Delta phi = q(x)vertical bar w vertical bar(2) -Delta A(k) = q(x) (alpha(k)w)center dot(w) over bar k = 1, 2, 3 for x epsilon R-3, where (A) over right arrow is the magnetic field, phi is the electron field, q describes the changing pointwise charge distribution, and f describes the self-interaction which is either subcritical: W(x)vertical bar u vertical bar(p-2)u, p epsilon (2, 3), or critical: W-1 (x)vertical bar u vertical bar(p-2)u + W-2(x)vertical bar u vertical bar u. The number of solutions obtained is described by the ratio of maximum and behavior at infinity of the potentials. (C) 2015 Elsevier Inc. All rights reserved,
关键词	Nonlinear Maxwell-Dirac system Semiclassical states Multiplicity
DOI	10.1016/j.jde.2015.12.013
语种	英语
资助项目	National Science Foundation of China (NSFC)[11331010] ; National Science Foundation of China (NSFC)[11571146] ; Beijing Center for Mathematics and Information Interdisciplinary Sciences ; International Centre for Theoretical Physics, Italy
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000374510900002
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22699
专题	中国科学院数学与系统科学研究院
通讯作者	Ruf, Bernhard
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Milan, Dipartimento Matemat, Via Saldini 50, I-20133 Milan, Italy
推荐引用方式 GB/T 7714	Ding, Yanheng,Ruf, Bernhard. On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2016,260(7):5565-5588.
APA	Ding, Yanheng,&Ruf, Bernhard.(2016).On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system.JOURNAL OF DIFFERENTIAL EQUATIONS,260(7),5565-5588.
MLA	Ding, Yanheng,et al."On multiplicity of semi-classical solutions to a nonlinear Maxwell-Dirac system".JOURNAL OF DIFFERENTIAL EQUATIONS 260.7(2016):5565-5588.