Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold
文献类型：期刊论文
| 作者 | Liu, Yanyan1,3; Li, Chong2,3; Li, Shujie3 |
| 刊名 | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000676010400005 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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