A Density Result for Homogeneous Sobolev Spaces on Planar Domains

被引：0

作者：

Debanjan Nandi

Tapio Rajala

Timo Schultz

机构：

[1] University of Jyvaskyla,Department of Mathematics and Statistics

来源：

Potential Analysis | 2019年 / 51卷

关键词：

Sobolev space; Homogeneous Sobolev space; Density; Primary 46E35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞(Ω) are dense in the homogeneous Sobolev spaces Lk,p(Ω).

引用

页码：483 / 498

页数：15

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