Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth

doi:10.1016/j.jde.2011.05.011

CSpace > 应用数学研究所

	Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth
	Cao, Daomin1,2 ; Yan, Shusen 3
	2011-09-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	251 期号:6 页码:1389-1414
摘要	In this paper, we prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth: -Delta u = vertical bar u vertical bar(2)(-2)u + g(u) in Omega, partial derivative u/partial derivative nu = 0 on partial derivative Omega, where Omega is a bounded domain in R-N with C-3 boundary, N >= 3, nu is the outward unit normal of partial derivative Omega, 2 = 2N/N-2, and g(t) = mu vertical bar t vertical bar(p-2)t - t, or g(t) = mu t, where p is an element of (2, 2*), mu > 0 are constants. We obtain the existence of infinitely many solutions under certain assumptions on N, p and partial derivative Omega. In particular, if g(t) = mu t with mu > 0, N >= 7, and Omega is a strictly convex domain, then the problem has infinitely many solutions. (C) 2011 Published by Elsevier Inc.
DOI	10.1016/j.jde.2011.05.011
语种	英语
资助项目	NSFC[10721101] ; CAS in China[KJCX3-SYW-S03] ; ARC in Australia
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000292897600001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12602
专题	应用数学研究所
通讯作者	Cao, Daomin
作者单位	1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China 3.Univ New England, Dept Math, Sch Sci & Technol, Armidale, NSW 2351, Australia
推荐引用方式 GB/T 7714	Cao, Daomin,Yan, Shusen. Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2011,251(6):1389-1414.
APA	Cao, Daomin,&Yan, Shusen.(2011).Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth.JOURNAL OF DIFFERENTIAL EQUATIONS,251(6),1389-1414.
MLA	Cao, Daomin,et al."Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth".JOURNAL OF DIFFERENTIAL EQUATIONS 251.6(2011):1389-1414.