Variations on a Proof of a Borderline Bourgain-Brezis Sobolev Embedding Theorem

This paper offers a variant of a proof of a borderline Bourgain-Brezis Sobolev embedding theorem on R^n. The authors use this idea to extend the result to real hyperbolic spaces H^n.

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2017, Vol.38 (1), p.235-252
Main Authors: Chanillo, Sagun, Van Schaftingen, Jean, Yung, Po-Lam
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
Theorems
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Description
Summary:This paper offers a variant of a proof of a borderline Bourgain-Brezis Sobolev embedding theorem on R^n. The authors use this idea to extend the result to real hyperbolic spaces H^n.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-016-1069-y