Multiple solutions for a superlinear and periodic elliptic system on R-N

doi:10.1007/s00033-010-0105-0

CSpace

	Multiple solutions for a superlinear and periodic elliptic system on R-N
	Zhao, Fukun 1,3; Zhao, Leiga 2; Ding, Yanheng 3
	2011-06-01
发表期刊	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN	0044-2275
卷号	62 期号:3 页码:495-511
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.
关键词	Hamiltonian elliptic system Variational method Strongly indefinite functionals
DOI	10.1007/s00033-010-0105-0
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000291034600007
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11808
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.