Solutions of nonlinear Dirac equations

doi:10.1016/j.jde.2005.08.014

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	Solutions of nonlinear Dirac equations
	Bartsch, Thomas ; Ding, Yanheng
	2006-07-01
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	226 期号:1 页码:210-249
摘要	We study the Dirac equation: -i delta(t)psi = ich (3)Sigma(k=1) alpha(k)delta(k)psi - mc(2)beta psi + del(psi)G(x, psi) and obtain existence and multiplicity results of stationary solutions for several classes of nonlinearities G : R-3 x C-4 -> R modeling various types of interaction. A typical result states that if G (x, u) depends periodically on x and is even in u, the problem has infinitely many geometrically different localized solutions. The arguments are variational. The associated Lagrangian functional is strongly indefinite and the Palais-Smale condition does not hold. We apply some recently developed critical point theorems. (c) 2005 Elsevier Inc. All rights reserved.
关键词	nonlinear Dirac equations variational methods strongly indefinite functionals
DOI	10.1016/j.jde.2005.08.014
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000238548800009
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/2980
专题	中国科学院数学与系统科学研究院
通讯作者	Bartsch, Thomas
作者单位	1.Univ Giessen, Math Inst, D-35392 Giessen, Germany 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bartsch, Thomas,Ding, Yanheng. Solutions of nonlinear Dirac equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,226(1):210-249.
APA	Bartsch, Thomas,&Ding, Yanheng.(2006).Solutions of nonlinear Dirac equations.JOURNAL OF DIFFERENTIAL EQUATIONS,226(1),210-249.
MLA	Bartsch, Thomas,et al."Solutions of nonlinear Dirac equations".JOURNAL OF DIFFERENTIAL EQUATIONS 226.1(2006):210-249.