Existence, multiplicity and concentration of positive solutions for a class of quasilinear problems

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	Existence, multiplicity and concentration of positive solutions for a class of quasilinear problems
	Alves, Claudianor O.; Ding, Yanheng
	2007-06-01
发表期刊	TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
ISSN	1230-3429
卷号	29 期号:2 页码:265-278
摘要	Using variational methods we establish existence and multiplicity of positive solutions for the following class of quasilinear problems -Delta(p)u + lambda V(x)vertical bar u vertical bar p(-2) = mu vertical bar mu vertical bar(p-2) u + vertical bar u vertical bar(p-2)u in R-N where Delta(p)u is the p-Laplacian operator, 2 <= p < N,p = pN/(N - p), lambda, mu is an element of (0, infinity) and V: R-N -> R is a continuous function verifying some hypothesis.
关键词	variational methods critical exponent elliptic equation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000247576700003
出版者	JULIUSZ SCHAUDER CTR NONLINEAR STUDIES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4110
专题	中国科学院数学与系统科学研究院
通讯作者	Alves, Claudianor O.
作者单位	1.Univ Fed Campina Grande, Dept Matemat & Estatist, BR-58109970 Campina Grande, PB, Brazil 2.Chinese Acad Sci, Inst Math, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Alves, Claudianor O.,Ding, Yanheng. Existence, multiplicity and concentration of positive solutions for a class of quasilinear problems[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,2007,29(2):265-278.
APA	Alves, Claudianor O.,&Ding, Yanheng.(2007).Existence, multiplicity and concentration of positive solutions for a class of quasilinear problems.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,29(2),265-278.
MLA	Alves, Claudianor O.,et al."Existence, multiplicity and concentration of positive solutions for a class of quasilinear problems".TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 29.2(2007):265-278.