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

Sagun Chanillo; Jean Van Schaftingen; Po-Lam Yung

doi:10.1007/s11401-016-1069-y

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

Journal article

Peer reviewed

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

Sagun Chanillo, Jean Van Schaftingen and Po-Lam Yung

Chinese annals of mathematics. Serie B, Vol.38(1), pp.235-252

01/01/2017

DOI: https://doi.org/10.1007/s11401-016-1069-y

Abstract

Mathematics

Physical Sciences

Science & Technology

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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Title: Variations on a Proof of a Borderline Bourgain-Brezis Sobolev Embedding Theorem
Creators: Sagun Chanillo - Rutgers, The State University of New Jersey
Jean Van Schaftingen - UCLouvain
Po-Lam Yung - Chinese University of Hong Kong
Publication Details: Chinese annals of mathematics. Serie B, Vol.38(1), pp.235-252
Date published: 01/01/2017
Publisher: Shanghai Scientific Technology Literature Publishing House
Number of pages: 18
Grant note: 3132713 / Chinese University of Hong Kong St. Hilda's College Titchmarsh Fellowship at the University of Oxford Fonds de la Recherche Scientifique-FNRS; Fonds de la Recherche Scientifique - FNRS DMS 1201474 / NSF; National Science Foundation (NSF) CUHK24300915 / Hong Kong Research Grant Council; Hong Kong Research Grants Council
Academic Unit: Mathematics (SAS)
Language: English
Resource Type: Journal article
Identifiers: 991031758495904646