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

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

作者机构：Department of Mathematics Rutgersthe State University of New Jersey 110 Frelinghuysen Road PiscatawayNJ08854USA Institut de Recherche en Mathematique et en PhysiqueUniversite catholique de Louvain Chemin du Cyclotron 2 bte L7.01.011348 Louvain-la-NeuveBelgium Department of Mathematicsthe Chinese University of Hong KongShatin.Hong Kong 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2017年第38卷第1期

页      面：235-252页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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 

主　　题：Bourgain-Brezis inequalities Divergence-free vector fields Sobolev inequalities Real hyperbolic space 

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.