Sobolev embedding theorems for a class of anisotropic irregular domains

被引：0

作者：

B. V. Trushin

机构：

[1] Moscow Institute of Physics and Technology (State University),

来源：

Proceedings of the Steklov Institute of Mathematics | 2008年 / 260卷

关键词：

STEKLOV Institute; Pairwise Disjoint; Quasiconformal Mapping; Cone Condition; Steklov Inst;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Sufficient conditions for the embedding of a Sobolev space in Lebesgue spaces on a domain depend on the integrability and smoothness parameters of the spaces and on the geometric features of the domain. In the present paper, Sobolev embedding theorems are obtained for a class of domains with irregular boundary; this class includes the well-known classes of σ-John domains, domains with the flexible cone condition, and their anisotropic analogs.

引用

页码：287 / 309

页数：22

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