dc.contributor.author | Rajala, Tapio | |
dc.contributor.author | Zhu, Zheng | |
dc.date.accessioned | 2024-02-21T12:59:47Z | |
dc.date.available | 2024-02-21T12:59:47Z | |
dc.date.issued | 2024 | |
dc.identifier.citation | Rajala, T., & Zhu, Z. (2024). Zero volume boundary for extension domains from Sobolev to BV. <i>Revista Matemática Complutense</i>, <i>Early online</i>. <a href="https://doi.org/10.1007/s13163-024-00485-6" target="_blank">https://doi.org/10.1007/s13163-024-00485-6</a> | |
dc.identifier.other | CONVID_207193759 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/93562 | |
dc.description.abstract | In this note, we prove that the boundary of a (W1,p, BV )-extension domain is of volume zero under the assumption that the domain is 1-fat at almost every x ∈ ∂. Especially, the boundary of any planar (W1,p, BV )-extension domain is of volume zero. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartofseries | Revista Matemática Complutense | |
dc.rights | CC BY 4.0 | |
dc.subject.other | extension domains | |
dc.subject.other | Sobolev functions | |
dc.subject.other | BV functions | |
dc.subject.other | boundary volume | |
dc.title | Zero volume boundary for extension domains from Sobolev to BV | |
dc.type | research article | |
dc.identifier.urn | URN:NBN:fi:jyu-202402212029 | |
dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
dc.contributor.laitos | Department of Mathematics and Statistics | en |
dc.contributor.oppiaine | Matematiikka | fi |
dc.contributor.oppiaine | Analyysin ja dynamiikan tutkimuksen huippuyksikkö | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.contributor.oppiaine | Analysis and Dynamics Research (Centre of Excellence) | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.relation.issn | 1139-1138 | |
dc.relation.volume | Early online | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © The Author(s) 2024 | |
dc.rights.accesslevel | openAccess | fi |
dc.type.publication | article | |
dc.subject.yso | funktionaalianalyysi | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p17780 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.1007/s13163-024-00485-6 | |
jyx.fundinginformation | Open Access funding provided by University of Jyväskylä (JYU). | |
dc.type.okm | A1 | |