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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| creator | Drelichman, Irene Durán, Ricardo G |
| description | 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_str_mv | 10.48550/arxiv.2012.14505 |
| format | Article |
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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.</abstract><doi>10.48550/arxiv.2012.14505</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.2012.14505 |
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| subjects | Mathematics - Analysis of PDEs |
| title | The Bourgain-Br\'ezis-Mironescu formula in arbitrary bounded domains |
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