Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold

doi:10.1142/S0219199720500169

	Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold
	Liu, Yanyan 1,3; Li, Chong 2,3; Li, Shujie 3
刊名	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
	2021-09-01
卷号	23 期号:06 页码:25
关键词	Strongly indefinite superlinear problem prescribed number of nontrivial solutions nonautonomous Hamiltonian systems Dirac equations on compact spin manifold
ISSN号	0219-1997
DOI	10.1142/S0219199720500169
英文摘要	Let (M, g) be a Riemannian manifold with finite volume and U be a linear topological space. We consider the strongly indefinite superlinear problem {Au = vertical bar u vertical bar(p-2)u + partial derivative/partial derivative u psi(x, u), u is an element of H, where A : L-2(M, U) -> L-2(M, U) is a self-adjoint linear operator, H is a real Hilbert space with the compact embedding H hooked right arrow L-p(M, U) if p is an element of [2, q) for some q > 2, and (partial derivative/partial derivative u psi(x, u), u) <= C(vertical bar u vertical bar(2) + vertical bar u vertical bar(p)). We obtain the existence of two solutions provided that p < 2 + p(0) and C < C-0 for a certain choice of p(0), C-0 > 0. Moreover, we prove that, if p - 2 and C small enough, there exist prescribed number of nontrivial solutions. As applications, the corresponding results hold true for nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold.
资助项目	NSFC[11471319] ; NSFC[11871066]
WOS研究方向	Mathematics
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000676010400005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58944]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Chong
作者单位	1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Yanyan,Li, Chong,Li, Shujie. Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2021,23(06):25.
APA	Liu, Yanyan,Li, Chong,&Li, Shujie.(2021).Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,23(06),25.
MLA	Liu, Yanyan,et al."Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 23.06(2021):25.