Multiple solutions for a superlinear and periodic elliptic system on R-N
文献类型:期刊论文
作者 | Zhao, Fukun1,3; Zhao, Leiga2; Ding, Yanheng3 |
刊名 | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
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出版日期 | 2011-06-01 |
卷号 | 62期号:3页码:495-511 |
关键词 | Hamiltonian elliptic system Variational method Strongly indefinite functionals |
ISSN号 | 0044-2275 |
DOI | 10.1007/s00033-010-0105-0 |
英文摘要 | This paper is concerned with the following periodic Hamiltonian elliptic system where the potential V is periodic and 0 lies in a gap of the spectrum of -Delta + V, f(x, t) and g(x, t) depend periodically on x and are superlinear but subcritical in t at infinity. By establishing a variational setting, existence of a ground state solution and multiple solution for odd f and g are obtained. |
资助项目 | NSFC[11061040] ; NSFC[11001008] ; NSFY of Yunnan Province[2008CD112] ; NSFY of Yunnan Province[2009CD043] ; Foundation of Education Committee of Yunnan Province, China |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000291034600007 |
出版者 | SPRINGER BASEL AG |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11807] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhao, Fukun |
作者单位 | 1.Yunnan Normal Univ, Dept Math, Kunming 650092, Peoples R China 2.Beijing Univ Chem Technol, Dept Math, Beijing 100029, Peoples R China 3.Chinese Acad Sci, Inst Math, AMSS, Beijing 100029, Peoples R China |
推荐引用方式 GB/T 7714 | Zhao, Fukun,Zhao, Leiga,Ding, Yanheng. Multiple solutions for a superlinear and periodic elliptic system on R-N[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2011,62(3):495-511. |
APA | Zhao, Fukun,Zhao, Leiga,&Ding, Yanheng.(2011).Multiple solutions for a superlinear and periodic elliptic system on R-N.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,62(3),495-511. |
MLA | Zhao, Fukun,et al."Multiple solutions for a superlinear and periodic elliptic system on R-N".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 62.3(2011):495-511. |
入库方式: OAI收割
来源:数学与系统科学研究院
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