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| Variations on a Proof of a Borderline Bourgain-Brezis Sobolev Embedding Theorem |
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Citation： |
Sagun CHANILLO,Jean VAN SCHAFTINGEN,Po-Lam YUNG.Variations on a Proof of a Borderline Bourgain-Brezis Sobolev Embedding Theorem[J].Chinese Annals of Mathematics B,2017,38(1):235~252 |
| Page view： 729
Net amount： 1448 |
Authors： |
Sagun CHANILLO; Jean VAN SCHAFTINGEN;Po-Lam YUNG |
Foundation： |
S. Chanillo was partially supported by NSF grant DMS
1201474. J. Van Schaftingen was partially supported by the Fonds de
la Recherche Scientifique-FNRS. P.-L. Yung was partially supported
by a Titchmarsh Fellowship at the University of Oxford, a junior
research fellowship at St. Hilda's College, a direct grant for
research from the Chinese University of Hong Kong (3132713), and an
Early Career Grant CUHK24300915 from the Hong Kong Research Grant
Council. |
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| Abstract： |
This paper offers a variant of a proof of a borderline
Bourgain-Brezis Sobolev embedding theorem on $\mathbb{R}^n$. The
authors use this idea to extend the result to real hyperbolic spaces
$\mathbb{H}^n$. |
Keywords： |
Bourgain-Brezis inequalities, Divergence-free vector fields, Sobolevinequalities, Real hyperbolic space |
Classification： |
26D10 |
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