Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type

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	Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type
	Zhang Zhitao1 ; Sun Yimin 2
	2016
发表期刊	Acta Mathematicae Applicatae Sinica
ISSN	0168-9673
卷号	32 期号:1 页码:35
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 β is sufficiently large.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22433
专题	数学所
作者单位	1.中国科学院数学与系统科学研究院 2.西北大学
推荐引用方式 GB/T 7714	Zhang Zhitao,Sun Yimin. Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type[J]. Acta Mathematicae Applicatae Sinica,2016,32(1):35.
APA	Zhang Zhitao,&Sun Yimin.(2016).Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type.Acta Mathematicae Applicatae Sinica,32(1),35.
MLA	Zhang Zhitao,et al."Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type".Acta Mathematicae Applicatae Sinica 32.1(2016):35.