The Bourgain-Brézis-Mironescu formula in arbitrary bounded domains
/ Authors
/ Abstract
We obtain a Bourgain-Brézis-Mironescu formula on the limit behaviour of a modified fractional Sobolev seminorm when s ր 1, which is valid in arbitrary bounded domains. In the case of extension domains, we recover the classical result.
DOI: 10.1090/PROC/15665