Multi-bump Ground States of the Fractional Gierer-Meinhardt System on the Real Line

doi:10.1007/s10884-018-9670-2

	Multi-bump Ground States of the Fractional Gierer-Meinhardt System on the Real Line
	Yang, Wen 1; Wei, Juncheng 2
刊名	JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
	2019-03-01
卷号	31 期号:1 页码:385-417
关键词	Multi-bump solutions Gierer-Meinhardt system Fractional Laplacian
ISSN号	1040-7294
DOI	10.1007/s10884-018-9670-2
英文摘要	In this paper we study ground- states of the fractional Gierer- Meinhardt system on the real line, namely the solutions of the problem... (- ) su + u - u2 v = 0 inR, (- ) sv + e2sv - u2 = 0 inR, u, v > 0, u, v. 0, as \| x\|. 8. We prove that given any positive integer k, there exists a solution to this problem for s. [ 1 2, 1) exhibiting exactly k bumps in its u- component, separated from each other at a distance O( e 1- 2s 4s) for s. ( 1 2, 1) and O(\| log e\| 1 2) for s = 1 2, whenever e is sufficiently small. After suitable scaling, each bump of u is exactly the same as the unique solution of (- ) sU + U - U2 = 0 in R, 0 < U( y). 0 as \| y\|. infinity
资助项目	NSERC of Canada ; CAS Pioneer Hundred Talents Program[Y8S3011001]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000463592000016
资助机构	NSERC of Canada ; NSERC of Canada ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; NSERC of Canada ; NSERC of Canada ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; NSERC of Canada ; NSERC of Canada ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program ; NSERC of Canada ; NSERC of Canada ; CAS Pioneer Hundred Talents Program ; CAS Pioneer Hundred Talents Program
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/13780]
专题	中国科学院武汉物理与数学研究所
通讯作者	Yang, Wen
作者单位	1.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China 2.Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
推荐引用方式 GB/T 7714	Yang, Wen,Wei, Juncheng. Multi-bump Ground States of the Fractional Gierer-Meinhardt System on the Real Line[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,2019,31(1):385-417.
APA	Yang, Wen,&Wei, Juncheng.(2019).Multi-bump Ground States of the Fractional Gierer-Meinhardt System on the Real Line.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,31(1),385-417.
MLA	Yang, Wen,et al."Multi-bump Ground States of the Fractional Gierer-Meinhardt System on the Real Line".JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 31.1(2019):385-417.