The Bourgain-Br\'ezis-Mironescu formula in arbitrary bounded domains
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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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2012.14505 |