A density result on Orlicz-Sobolev spaces in the plane

Ortiz, Walter A.; Rajala, Tapio

doi:10.1016/j.jmaa.2021.125329

dc.contributor.author	Ortiz, Walter A.
dc.contributor.author	Rajala, Tapio
dc.date.accessioned	2021-05-20T05:57:53Z
dc.date.available	2021-05-20T05:57:53Z
dc.date.issued	2021
dc.identifier.citation	Ortiz, W. A., & Rajala, T. (2021). A density result on Orlicz-Sobolev spaces in the plane. <i>Journal of Mathematical Analysis and Applications</i>, <i>503</i>(2), Article 125329. <a href="https://doi.org/10.1016/j.jmaa.2021.125329" target="_blank">https://doi.org/10.1016/j.jmaa.2021.125329</a>
dc.identifier.other	CONVID_83402090
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/75769
dc.description.abstract	We show the density of smooth Sobolev functions Wk,∞(Ω)∩C∞(Ω) in the Orlicz-Sobolev spaces Lk,Ψ(Ω) for bounded simply connected planar domains Ω and doubling Young functions Ψ.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Elsevier
dc.relation.ispartofseries	Journal of Mathematical Analysis and Applications
dc.rights	CC BY 4.0
dc.subject.other	Sobolev space
dc.subject.other	Orlicz-Sobolev space
dc.subject.other	density
dc.title	A density result on Orlicz-Sobolev spaces in the plane
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202105203031
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	0022-247X
dc.relation.numberinseries	2
dc.relation.volume	503
dc.type.version	publishedVersion
dc.rights.copyright	© 2021 The Author(s). Published by Elsevier Inc.
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	314789
dc.relation.grantnumber	274372
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	10.1016/j.jmaa.2021.125329
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Academy Research Fellow, AoF	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundingprogram	Akatemiatutkija, SA	fi
jyx.fundinginformation	TR acknowledges the support by the Academy of Finland, projects no. 274372 and 314789. WO acknowledges the support by MINECO Grants MTM201344304P and EEBBI1812876 (Spain).
dc.type.okm	A1