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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:263

Article

Fan, XL ; Zhao, D

关键词: generalized Lebesgue space;    Nemytsky operator;    imbedding;    density;   

DOI  :  10.1006/jmaa.2000.7617

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free