Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem
Classical Analysis and ODEs
2017-07-04 v1 Analysis of PDEs
Abstract
We offer a variant of a proof of a borderline Bourgain-Brezis Sobolev embedding theorem on . We use this idea to extend the result to real hyperbolic spaces .
Keywords
Cite
@article{arxiv.1612.02888,
title = {Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem},
author = {Sagun Chanillo and Jean Van Schaftingen and Po-Lam Yung},
journal= {arXiv preprint arXiv:1612.02888},
year = {2017}
}
Comments
21 pages; to appear in a Special Issue of Chinese Annals of Mathematics in honour of Haim Brezis