Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure

doi:10.1080/00036810801926890

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	Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure
	Liu, Zhaoxia 2; Han, Pigong1
	2008
发表期刊	APPLICABLE ANALYSIS
ISSN	0003-6811
卷号	87 期号:3 页码:363-376
摘要	In this article, we study the asymptotic behaviour of positive solutions to the Hamiltonian elliptic systems -Delta nu = u(p-epsilon), -Delta u = nu(q-delta) in Omega; u, nu > 0 in Omega; u = nu = 0 on partial derivative Omega, where Omega is a unit ball in R-N(N >= 3) centered at the origin; 1/(p + 1) + 1/(q + 1) = (N - 2)/N, p, q > 1; epsilon, delta > 0. The solutions are shown to blow up at exactly the origin. The exact rate of blowing up is also given.
关键词	Hamiltonian systems Green's function asymptotic behaviour ground state
DOI	10.1080/00036810801926890
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000254132100009
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5935
专题	应用数学研究所
通讯作者	Han, Pigong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Cent Univ National, Sch Sci, Dept Informat & Computat Sci, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Liu, Zhaoxia,Han, Pigong. Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure[J]. APPLICABLE ANALYSIS,2008,87(3):363-376.
APA	Liu, Zhaoxia,&Han, Pigong.(2008).Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure.APPLICABLE ANALYSIS,87(3),363-376.
MLA	Liu, Zhaoxia,et al."Asymptotic behaviour of positive solutions for critical systems with strongly indefinite structure".APPLICABLE ANALYSIS 87.3(2008):363-376.