On the spaces Lp(x)(Omega) and Wm, p(x)(Omega)

doi:10.1006/jmaa.2000.7617

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	On the spaces Lp(x)(Omega) and Wm, p(x)(Omega)
	Fan, XL(范先令); Zhao, D(赵敦); Fan, XL (reprint author), Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China.
	2001-11-15
Source Publication	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
Volume	263 Issue:2 Pages:424-446
Abstract	In this paper we present some basic results on the generalized Lebesgue spaces L-p(x)(Omega) and generalized Lebesgue-Sobolev spaces W-m,W-p(x)(Omega). These results provide the necessary framework for the study of variational problems and elliptic equations with non-standard p(x)-growth conditions. (C) 2001 Academic Press.
Keyword	generalized Lebesgue space Nemytsky operator imbedding density
Subject Area	Mathematics
Publisher	ELSEVIER
DOI	10.1006/jmaa.2000.7617
Publication Place	SAN DIEGO
Indexed By	SCIE
Language	英语
First Inst	是
WOS ID	WOS:000172302400006
Subtype	Article
Department	Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
Citation statistics	Cited Times:1275[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	https://ir.lzu.edu.cn/handle/262010/117596
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,Zhao, D,Fan, XL . On the spaces Lp(x)(Omega) and Wm, p(x)(Omega)[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2001,263(2):424-446.
APA	Fan, XL,Zhao, D,&Fan, XL .(2001).On the spaces Lp(x)(Omega) and Wm, p(x)(Omega).JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,263(2),424-446.
MLA	Fan, XL,et al."On the spaces Lp(x)(Omega) and Wm, p(x)(Omega)".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 263.2(2001):424-446.

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