Continuity of embeddings of weighted Sobolev spaces in Lebesgue spaces on anisotropically 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 | 2010年 / 269卷

关键词：

STEKLOV Institute; Lebesgue Space; Quasiconformal Mapping; Cone Condition; Steklov Inst;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In our earlier publications, the domains satisfying the flexible σ-cone condition were classified with respect to an anisotropy parameter λ. In the present paper we establish the continuity of embeddings of weighted Sobolev spaces in Lebesgue spaces in these classes of domains. For each class of domains with parameter λ ≠ (1, ..., 1), the theorems obtained are stronger than those in the general case of domains satisfying the flexible σ-cone condition.

引用

页码：265 / 283

页数：18

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