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Solutions of nonlinear Dirac equations
Bartsch, Thomas; Ding, Yanheng
2006-07-01
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume226Issue:1Pages:210-249
AbstractWe 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.
Keywordnonlinear Dirac equations variational methods strongly indefinite functionals
DOI10.1016/j.jde.2005.08.014
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000238548800009
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/2980
Collection中国科学院数学与系统科学研究院
Corresponding AuthorBartsch, Thomas
Affiliation1.Univ Giessen, Math Inst, D-35392 Giessen, Germany
2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China
Recommended Citation
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.
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