Sign-changing bubble tower solutions for the supercritical H,non-type equations

doi:10.1007/s10231-017-0722-8

CSpace > 应用数学研究所

	Sign-changing bubble tower solutions for the supercritical H,non-type equations
	Cao, Daomin1,2 ; Liu, Zhongyuan 3; Peng, Shuangjie 4,5
	2018-08-01
发表期刊	ANNALI DI MATEMATICA PURA ED APPLICATA
ISSN	0373-3114
卷号	197 期号:4 页码:1227-1246
摘要	This paper deals with the following supercritical H,non-type equation where , , , , is a smooth bounded domain in containing the origin. For small enough, it is shown that if is not an even integer, the above problem has sign-changing bubble tower solutions, which blow up at the origin. It seems that this is the first existence result of sign-changing bubble tower solutions for the supercritical H,non-type equation.
关键词	Sign-changing bubble tower solutions Henon-type equation Lyapunov-Schmidt reduction
DOI	10.1007/s10231-017-0722-8
语种	英语
资助项目	NSFC[11501166] ; NSFC[11571130]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000439330700011
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/33381
专题	应用数学研究所
通讯作者	Liu, Zhongyuan
作者单位	1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Guangdong, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Henan Univ, Sch Math & Stat, Kaifeng 475004, Henan, Peoples R China 4.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China 5.Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Liu, Zhongyuan,Peng, Shuangjie. Sign-changing bubble tower solutions for the supercritical H,non-type equations[J]. ANNALI DI MATEMATICA PURA ED APPLICATA,2018,197(4):1227-1246.
APA	Cao, Daomin,Liu, Zhongyuan,&Peng, Shuangjie.(2018).Sign-changing bubble tower solutions for the supercritical H,non-type equations.ANNALI DI MATEMATICA PURA ED APPLICATA,197(4),1227-1246.
MLA	Cao, Daomin,et al."Sign-changing bubble tower solutions for the supercritical H,non-type equations".ANNALI DI MATEMATICA PURA ED APPLICATA 197.4(2018):1227-1246.