Sobolev embedding theorems for spaces W-k,p(x)(Omega)

doi:10.1006/jmaa.2001.7618

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	Sobolev embedding theorems for spaces W-k,p(x)(Omega)
	Fan, XL(范先令); Shen, JS; Zhao, D(赵敦); Fan, XL (reprint author), Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China.
	2001-10-15
Source Publication	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
Volume	262 Issue:2 Pages:749-760
Abstract	This paper gives a Sobolev-type embedding theorem for the generalized Lebesgue-Sobolev space W-k.p(x)(Omega), where Omega is an open domain in R-N(N greater than or equal to 2) with cone property, and p(x) is a Lipschitz continuous function defined on fl satisfying 1 < p(-) less than or equal to p(+) < p(+) < N/k. The main result can be stated as follows: for any measurable function q(x)(x epsilon <()over bar>) with p(x) less than or equal to q(x) less than or equal to p(*)(x) := Np(x)/Np(x)/N - kp(x), there exists a continuous embedding from W-k,W-p(x)(Omega) to L-q(x)(Omega). (C) 2001 Academic Press.
Keyword	generalized Lebesgue-Sobolev spaces embedding integrals
Subject Area	Mathematics
Publisher	ELSEVIER
DOI	10.1006/jmaa.2001.7618
Publication Place	SAN DIEGO
Indexed By	SCIE
Language	英语
First Inst	是
WOS ID	WOS:000171544300019
Subtype	Article
Department	Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
Citation statistics	Cited Times:461[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	https://ir.lzu.edu.cn/handle/262010/117593
Collection	数学与统计学院
Corresponding Author	Fan, XL (reprint author), Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China.
Recommended Citation GB/T 7714	Fan, XL,Shen, JS,Zhao, D,et al. Sobolev embedding theorems for spaces W-k,p(x)(Omega)[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2001,262(2):749-760.
APA	Fan, XL,Shen, JS,Zhao, D,&Fan, XL .(2001).Sobolev embedding theorems for spaces W-k,p(x)(Omega).JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,262(2),749-760.
MLA	Fan, XL,et al."Sobolev embedding theorems for spaces W-k,p(x)(Omega)".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 262.2(2001):749-760.

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