Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem
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- 作者：Sagun Chanillo ; Jean Van Schaftingen…
- 关键词：Bourgain ; Brezis inequalities ; Divergence ; free vector fields ; Sobolev inequalities ; Real hyperbolic space
- 刊名：Chinese Annals of Mathematics, Series B
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：38
- 期：1
- 页码：235-252
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics, general; Applications of Mathematics;
- 出版者：Springer Berlin Heidelberg
- ISSN：1860-6261
- 卷排序：38
文摘
This paper offers a variant of a proof of a borderline Bourgain-Brezis Sobolev embedding theorem on ℝn. The authors use this idea to extend the result to real hyperbolic spaces ℍn.