Bifurcation on compact spin manifold

doi:10.1007/s00526-016-1030-7

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	Bifurcation on compact spin manifold
	Ding, Yanheng1 ; Li, Jiongyue 1; Xu, Tian 2
	2016-08-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	55 期号:4 页码:17
摘要	We consider the bifurcation phenomenon of solutions to a class of nonlinear Dirac equations mu D psi = psi + h(psi) on compact spin manifolds. There are two main results. The first is bifurcation from zero, which asserts that the equations allow a sequence of bifurcation points (mu(k),theta), and for each mu is an element of R near mu k the corresponding equation has at least two nontrivial solutions near theta. The second result is bifurcation from infinity. The point (mu(k), infinity) is also proved to be a bifurcation point and we give a characterization of the bifurcation behavior.
DOI	10.1007/s00526-016-1030-7
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
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000381989700019
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23298
专题	数学所
通讯作者	Ding, Yanheng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China
推荐引用方式 GB/T 7714	Ding, Yanheng,Li, Jiongyue,Xu, Tian. Bifurcation on compact spin manifold[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2016,55(4):17.
APA	Ding, Yanheng,Li, Jiongyue,&Xu, Tian.(2016).Bifurcation on compact spin manifold.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,55(4),17.
MLA	Ding, Yanheng,et al."Bifurcation on compact spin manifold".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 55.4(2016):17.