Solutions for semilinear elliptic equations with critical exponents and Hardy potential

doi:10.1016/j.jde.2004.03.005

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	Solutions for semilinear elliptic equations with critical exponents and Hardy potential
	Cao, DM; Han, PG
	2004-10-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	205 期号:2 页码:521-537
摘要	In this paper, we answer affirmatively an open problem (cf. Theorem 4' in Ferrero and Gazzola (J. Differential Equations 177 (2001) 494): Let OhmThere Exists0 be an open-bounded domain, Ohm subset of R-N (N greater than or equal to 5)and assume that 0 less than or equal to mu < (N-2/2)(2) - (N+2/N)(2), then, for all lambda > 0 there exists a nontrivial solution with critical level in the range (0, 1/N S-mu(N/2)) for the problem -Deltamu- mu u/\x\(2) = lambdau + \u\(2*-2)u in Ohm; u = 0 on partial derivativeOhm. (C) 2004 Elsevier Inc. All rights reserved.
关键词	semilinear elliptic equation energy functional Palais-Smale condition critical Sobolev exponent
DOI	10.1016/j.jde.2004.03.005
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000224505500011
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/19538
专题	应用数学研究所
通讯作者	Cao, DM
作者单位	1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100080, Peoples R China 2.Acad Sinica, Grad Sch, Beijing 100039, Peoples R China
推荐引用方式 GB/T 7714	Cao, DM,Han, PG. Solutions for semilinear elliptic equations with critical exponents and Hardy potential[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2004,205(2):521-537.
APA	Cao, DM,&Han, PG.(2004).Solutions for semilinear elliptic equations with critical exponents and Hardy potential.JOURNAL OF DIFFERENTIAL EQUATIONS,205(2),521-537.
MLA	Cao, DM,et al."Solutions for semilinear elliptic equations with critical exponents and Hardy potential".JOURNAL OF DIFFERENTIAL EQUATIONS 205.2(2004):521-537.