The Bourgain-Br\'ezis-Mironescu formula in arbitrary bounded domains
Analysis of PDEs
2021-01-07 v2
Abstract
We obtain a Bourgain-Br\'ezis-Mironescu formula on the limit behaviour of a modified fractional Sobolev seminorm when , which is valid in arbitrary bounded domains. In the case of extension domains, we recover the classical result.
Keywords
Cite
@article{arxiv.2012.14505,
title = {The Bourgain-Br\'ezis-Mironescu formula in arbitrary bounded domains},
author = {Irene Drelichman and Ricardo G. Durán},
journal= {arXiv preprint arXiv:2012.14505},
year = {2021}
}
Comments
8 pages, simpler proof, new references