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

doi:10.1142/S0219199720500169

CSpace

	Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold
	Liu, Yanyan 1,3; Li, Chong 1,2; Li, Shujie 1
	2021-09-01
发表期刊	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN	0219-1997
卷号	23 期号:06 页码:25
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.
关键词	Strongly indefinite superlinear problem prescribed number of nontrivial solutions nonautonomous Hamiltonian systems Dirac equations on compact spin manifold
DOI	10.1142/S0219199720500169
收录类别	SCI
语种	英语
资助项目	NSFC[11471319] ; NSFC[11871066]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000676010400005
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58945
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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Capital Normal Univ, Sch Math Sci, Beijing 100048, 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.