Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type

doi:10.1007/s10255-016-0545-1

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	Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type
	Zhang, Zhi-tao 1; Sun, Yi-min 2; Zhang Zhitao
刊名	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
	2016-06-01
卷号	32 期号:1 页码:35-54
关键词	Critical point Nehari manifold cohomological index
ISSN号	0168-9673
DOI	10.1007/s10255-016-0545-1
英文摘要	Firstly, we use Nehari manifold and Mountain Pass Lemma to prove an existence result of positive solutions for a class of nonlocal elliptic system with Kirchhoff type. Then a multiplicity result is established by cohomological index of Fadell and Rabinowitz. We also consider the critical case and prove existence of positive least energy solution when the parameter beta is sufficiently large.
资助项目	National Natural Science Foundation of China[11325107] ; National Natural Science Foundation of China[11271353] ; National Natural Science Foundation of China[11331010]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000373403700003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22432]
专题	数学所
通讯作者	Sun, Yi-min
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.NW Univ Xian, Sch Math, Xian 710127, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Zhi-tao,Sun, Yi-min,Zhang Zhitao. Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2016,32(1):35-54.
APA	Zhang, Zhi-tao,Sun, Yi-min,&Zhang Zhitao.(2016).Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,32(1),35-54.
MLA	Zhang, Zhi-tao,et al."Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 32.1(2016):35-54.