Zero volume boundary for extension domains from Sobolev to BV

Rajala, Tapio; Zhu, Zheng

doi:10.1007/s13163-024-00485-6

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	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.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