ON DENSITY OF SMOOTH FUNCTIONS IN WEIGHTED SOBOLEV SPACES WITH VARIABLE EXPONENTS

被引：14

作者：

Zhikov, V. V. ^{[1
]}

Surnachev, M. D. ^{[2
]}

机构：

[1] Vladimir State Univ, Stroitelei Ave, Vladimir 600000, Russia

[2] Russian Acad Sci, Aeroacust Lab, MV Keldysh Appl Math Inst, 4 Miusskaya Sq, Moscow 125047, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2016年 / 27卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

Density of smooth functions; Lavrentiev phenomenon; Sobolev-Orlicz spaces; variable exponent; Muckenhoupt classes; GENERALIZED LEBESGUE; MAXIMAL-FUNCTION;

D O I：

10.1090/spmj/1396

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A sufficient condition for the density of smooth functions in the weighted Sobolev space with variable exponent is obtained. This condition is formulated in terms of the asymptotic behavior of the integrals of negative and positive powers of the weight.

引用

页码：415 / 436

页数：22

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