The Bourgain-Brézis-Mironescu formula in arbitrary bounded domains

Published 28 Dec 2020 in math.AP | (2012.14505v2)

Abstract: We obtain a Bourgain-Br\'ezis-Mironescu formula on the limit behaviour of a modified fractional Sobolev seminorm when $s\nearrow 1$, which is valid in arbitrary bounded domains. In the case of extension domains, we recover the classical result.

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