EXISTENCE AND CONCENTRATION FOR KIRCHHOFF TYPE EQUATIONS AROUND TOPOLOGICALLY CRITICAL POINTS OF THE POTENTIAL

doi:10.3934/cpaa.2017079

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	EXISTENCE AND CONCENTRATION FOR KIRCHHOFF TYPE EQUATIONS AROUND TOPOLOGICALLY CRITICAL POINTS OF THE POTENTIAL
	Chen, Yu 1,2; Ding, Yanheng1 ; Li, Suhong 3
	2017-09-01
发表期刊	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
ISSN	1534-0392
卷号	16 期号:5 页码:1641-1671
摘要	We consider the existence and concentration of solutions for the following Kirchhoff Type Equations -epsilon(2) M(epsilon(2-N) integral(N)(R) vertical bar del v vertical bar(2)dx) Delta v + V(x)v = f(v), in R-N. Under suitable conditions on the continuous functions M, V and integral, we obtain a family of positive solutions concentrating around the local maximum or saddle points of V. Moreover with appropriate assumptions on V, we also have multiple solutions clustering respectively around three kinds of critical points of V.
关键词	Kirchhoff type equations topologically critical points concentration local maximum saddle Point
DOI	10.3934/cpaa.2017079
语种	英语
资助项目	N.S.F. grant[11461023]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000404234100008
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25780
专题	数学所
通讯作者	Chen, Yu
作者单位	1.Univ Chinese Acad Sci, Acad Math & Syst Sci, Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China 2.Honghe Univ Mengzi, Dept Math, Mengzi 661100, Yunnan, Peoples R China 3.Hebei Normal Univ Sci & Technol, Dept Math & Informat Technol, Qinhuangdao 066004, Hebei, Peoples R China
推荐引用方式 GB/T 7714	Chen, Yu,Ding, Yanheng,Li, Suhong. EXISTENCE AND CONCENTRATION FOR KIRCHHOFF TYPE EQUATIONS AROUND TOPOLOGICALLY CRITICAL POINTS OF THE POTENTIAL[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2017,16(5):1641-1671.
APA	Chen, Yu,Ding, Yanheng,&Li, Suhong.(2017).EXISTENCE AND CONCENTRATION FOR KIRCHHOFF TYPE EQUATIONS AROUND TOPOLOGICALLY CRITICAL POINTS OF THE POTENTIAL.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,16(5),1641-1671.
MLA	Chen, Yu,et al."EXISTENCE AND CONCENTRATION FOR KIRCHHOFF TYPE EQUATIONS AROUND TOPOLOGICALLY CRITICAL POINTS OF THE POTENTIAL".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 16.5(2017):1641-1671.