Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity

doi:10.1016/S0022-247X(03)00026-X

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	Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity
	Alves, CO ; Ding, YH
	2003-03-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	279 期号:2 页码:508-521
摘要	In this paper we deal with multiplicity of positive solutions to the p-Laplacian equation of the type -div (\delu\(p-2)delu) = muu(q-1) + u(p-1), u is an element of W-0(1,p) (Omega), where Omega subset of R-N is a bounded domain, N greater than or equal to p(2), 2 less than or equal to p less than or equal to q < p, p* = Np/(N - p), and mu is a positive parameter. We prove that there exists mu* > 0 such that, for each mu is an element of (0, mu*), the equation has at least cats? (Q) positive solutions. (C) 2003 Elsevier Science (USA). All rights reserved.
关键词	quasilinear elliptic equations p-Laplacian variational methods
DOI	10.1016/S0022-247X(03)00026-X
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000182454700012
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/18419
专题	数学所
通讯作者	Alves, CO
作者单位	1.Univ Fed Paraiba, Dept Matemat, BR-58100970 Campina Grande, PB, Brazil 2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Alves, CO,Ding, YH. Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2003,279(2):508-521.
APA	Alves, CO,&Ding, YH.(2003).Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,279(2),508-521.
MLA	Alves, CO,et al."Multiplicity of positive solutions to a p-Laplacian equation involving critical nonlinearity".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 279.2(2003):508-521.