Conditions for Embeddings of Sobolev Spaces on a Domain with Anisotropic Peak

被引：0

作者：

Besov, O. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2022年 / 319卷 / 01期

关键词：

Sobolev space; domain with a peak; embedding theorem; BOUNDEDNESS;

D O I：

10.1134/S0081543822050042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a domain G C R-n with an anisotropic peak, we construct integral representations of functions in terms of derivatives and establish conditions for the embedding W-p(s) (G) C L-q(G) of the Sobolev space in the Lebesgue space for 1 <= p <= q <= infinity.

引用

页码：43 / 55

页数：13