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Multiple solutions for a superlinear and periodic elliptic system on R-N
Zhao, Fukun1,3; Zhao, Leiga2; Ding, Yanheng3
2011-06-01
Source PublicationZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN0044-2275
Volume62Issue:3Pages:495-511
AbstractThis 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.
KeywordHamiltonian elliptic system Variational method Strongly indefinite functionals
DOI10.1007/s00033-010-0105-0
Language英语
Funding ProjectNSFC[11061040] ; NSFC[11001008] ; NSFY of Yunnan Province[2008CD112] ; NSFY of Yunnan Province[2009CD043] ; Foundation of Education Committee of Yunnan Province, China
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000291034600007
PublisherSPRINGER BASEL AG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/11808
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhao, Fukun
Affiliation1.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
Recommended Citation
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.
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