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dc.contributor.authorLučić, Danka
dc.contributor.authorRajala, Tapio
dc.contributor.authorTakanen, Jyrki
dc.date.accessioned2024-02-23T11:54:07Z
dc.date.available2024-02-23T11:54:07Z
dc.date.issued2023
dc.identifier.citationLučić, D., Rajala, T., & Takanen, J. (2023). Dimension estimates for the boundary of planar Sobolev extension domains. <i>Advances in Calculus of Variations</i>, <i>16</i>(2), 517-528. <a href="https://doi.org/10.1515/acv-2021-0042" target="_blank">https://doi.org/10.1515/acv-2021-0042</a>
dc.identifier.otherCONVID_102284769
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/93640
dc.description.abstractWe prove an asymptotically sharp dimension upper-bound for the boundary of bounded simply-connected planar Sobolev W1,pW1,p -extension domains via the weak mean porosity of the boundary. The sharpness of our estimate is shown by examples.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherWalter de Gruyter GmbH
dc.relation.ispartofseriesAdvances in Calculus of Variations
dc.rightsIn Copyright
dc.subject.otherSobolev extension
dc.subject.otherporosity
dc.subject.otherHausdorff dimension
dc.titleDimension estimates for the boundary of planar Sobolev extension domains
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202402232106
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineAnalyysin ja dynamiikan tutkimuksen huippuyksikköfi
dc.contributor.oppiaineMathematicsen
dc.contributor.oppiaineAnalysis and Dynamics Research (Centre of Excellence)en
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange517-528
dc.relation.issn1864-8258
dc.relation.numberinseries2
dc.relation.volume16
dc.type.versionacceptedVersion
dc.rights.copyright© 2023 De Gruyter
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber314789
dc.subject.ysofunktionaalianalyysi
dc.subject.ysomittateoria
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p17780
jyx.subject.urihttp://www.yso.fi/onto/yso/p13386
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1515/acv-2021-0042
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramAcademy Project, AoFen
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundinginformationAll authors partially supported by the Academy of Finland, project 314789.
dc.type.okmA1


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