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

Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem

Sagun Chanillo^*, Jean Van Schaftingen, Po Lam Yung

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	235-252
Number of pages	18
Journal	Chinese Annals of Mathematics. Series B
Volume	38
Issue number	1
DOIs	https://doi.org/10.1007/s11401-016-1069-y
Publication status	Published - 1 Jan 2017
Externally published	Yes

Access to Document

10.1007/s11401-016-1069-y

Cite this

@article{141031eb7c27480bb2d2cb118d17f365,

title = "Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem",

abstract = "This paper offers a variant of a proof of a borderline Bourgain-Brezis Sobolev embedding theorem on ℝn. The authors use this idea to extend the result to real hyperbolic spaces ℍn.",

keywords = "Bourgain-Brezis inequalities, Divergence-free vector fields, Real hyperbolic space, Sobolev inequalities",

author = "Sagun Chanillo and \{Van Schaftingen\}, Jean and Yung, \{Po Lam\}",

note = "Publisher Copyright: {\textcopyright} 2017, Fudan University and Springer-Verlag Berlin Heidelberg.",

year = "2017",

month = jan,

day = "1",

doi = "10.1007/s11401-016-1069-y",

language = "English",

volume = "38",

pages = "235--252",

journal = "Chinese Annals of Mathematics. Series B",

issn = "0252-9599",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem

AU - Chanillo, Sagun

AU - Van Schaftingen, Jean

AU - Yung, Po Lam

PY - 2017/1/1

Y1 - 2017/1/1

N2 - This paper offers a variant of a proof of a borderline Bourgain-Brezis Sobolev embedding theorem on ℝn. The authors use this idea to extend the result to real hyperbolic spaces ℍn.

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

KW - Bourgain-Brezis inequalities

KW - Divergence-free vector fields

KW - Real hyperbolic space

KW - Sobolev inequalities

UR - https://www.scopus.com/pages/publications/85008937087

U2 - 10.1007/s11401-016-1069-y

DO - 10.1007/s11401-016-1069-y

M3 - Article

SN - 0252-9599

VL - 38

SP - 235

EP - 252

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 1

ER -

Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem

Abstract

Access to Document

Other files and links

Fingerprint

Cite this