Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities

doi:10.1007/s00526-006-0086-1

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	Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities
	Bartsch, Thomas ; Peng, Shuangjie ; Zhang, Zhitao
	2007-09-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	30 期号:1 页码:113-136
摘要	We investigate elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities: -div(\|x\|(alpha)\|del u vertical bar(p-2)del u) = \|x\|(beta)u(P(alpha,beta)-1), u(x) > 0, x.is an element of Omega subset of R-N (N = 3), 1 < p < N and alpha, beta is an element of R such that (p(N+beta))/(N-p+alpha) . For various parameters alpha, beta and various domains Omega, we establish some existence and non-existence results of solutions in rather general, possibly degenerate or singular settings.
DOI	10.1007/s00526-006-0086-1
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000247271800005
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4077
专题	中国科学院数学与系统科学研究院
通讯作者	Bartsch, Thomas
作者单位	1.Univ Giessen, Inst Math, D-35392 Giessen, Germany 2.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bartsch, Thomas,Peng, Shuangjie,Zhang, Zhitao. Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2007,30(1):113-136.
APA	Bartsch, Thomas,Peng, Shuangjie,&Zhang, Zhitao.(2007).Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,30(1),113-136.
MLA	Bartsch, Thomas,et al."Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 30.1(2007):113-136.