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

作　　者：Sagun CHANILLO Jean VAN SCHAFTINGEN Po-Lam YUNG 

机构地区：[1]Department of Mathematics Rutgers,the State University of New Jersey 110 Frelinghuysen Road Piscataway,NJ08854,USA [2]Institut de Recherche en Mathematique et en Physique,Universite catholique de Louvain Chemin du Cyclotron 2 bte L7.01.01,1348 Louvain-la-Neuve,Belgium [3]Department of Mathematics,the Chinese University of Hong Kong,Shatin.Hong Kong

出　　处：《Chinese Annals of Mathematics,Series B》2017年第1期235-252,共18页数学年刊（B辑英文版）

基　　金：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);an Early Career Grant CUHK24300915 from the Hong Kong Research Grant Council

摘　　要：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.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.

关 键 词：Bourgain-Brezis inequalities Divergence-free vector fields Sobolev inequalities Real hyperbolic space 

分 类 号：O178[理学—数学]