论文标题
在任意界面的Bourgain-Brézis-Mironescu公式
The Bourgain-Brézis-Mironescu formula in arbitrary bounded domains
论文作者
论文摘要
当$ s \附近1 $时，我们在修改后的分数sobolev seminorm的极限行为上获得了bourgain-brézis-mironescu公式，该公式在任意有限域中有效。在扩展域的情况下，我们恢复经典结果。
We obtain a Bourgain-Brézis-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.
