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dc.contributor.authorBonicatto, Paolo
dc.contributor.authorPasqualetto, Enrico
dc.contributor.authorRajala, Tapio
dc.date.accessioned2020-03-09T09:26:02Z
dc.date.available2020-03-09T09:26:02Z
dc.date.issued2020
dc.identifier.citationBonicatto, P., Pasqualetto, E., & Rajala, T. (2020). Indecomposable sets of finite perimeter in doubling metric measure spaces. <i>Calculus of Variations and Partial Differential Equations</i>, <i>59</i>(2), Article 63. <a href="https://doi.org/10.1007/s00526-020-1725-7" target="_blank">https://doi.org/10.1007/s00526-020-1725-7</a>
dc.identifier.otherCONVID_34927857
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/68103
dc.description.abstractWe study a measure-theoretic notion of connectedness for sets of finite perimeter in the setting of doubling metric measure spaces supporting a weak (1,1)-Poincaré inequality. The two main results we obtain are a decomposition theorem into indecomposable sets and a characterisation of extreme points in the space of BV functions. In both cases, the proof we propose requires an additional assumption on the space, which is called isotropicity and concerns the Hausdorff-type representation of the perimeter measure.en
dc.format.mimetypeapplication/pdf
dc.languageeng
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofseriesCalculus of Variations and Partial Differential Equations
dc.rightsCC BY 4.0
dc.subject.othervariation
dc.subject.otherdifferential equations
dc.titleIndecomposable sets of finite perimeter in doubling metric measure spaces
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202003092338
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.relation.issn0944-2669
dc.relation.numberinseries2
dc.relation.volume59
dc.type.versionpublishedVersion
dc.rights.copyright© 2020 the Authors
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber274372
dc.relation.grantnumber307333 HY
dc.relation.grantnumber312488
dc.relation.grantnumber314789
dc.subject.ysometriset avaruudet
dc.subject.ysovariaatiolaskenta
dc.subject.ysomittateoria
dc.subject.ysodifferentiaaligeometria
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p27753
jyx.subject.urihttp://www.yso.fi/onto/yso/p11197
jyx.subject.urihttp://www.yso.fi/onto/yso/p13386
jyx.subject.urihttp://www.yso.fi/onto/yso/p16682
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1007/s00526-020-1725-7
dc.relation.funderResearch Council of Finlanden
dc.relation.funderResearch Council of Finlanden
dc.relation.funderResearch Council of Finlanden
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramAcademy Research Fellow, AoFen
jyx.fundingprogramCentre of Excellence, AoFen
jyx.fundingprogramResearch costs of Academy Research Fellow, AoFen
jyx.fundingprogramAcademy Project, AoFen
jyx.fundingprogramAkatemiatutkija, SAfi
jyx.fundingprogramHuippuyksikkörahoitus, SAfi
jyx.fundingprogramAkatemiatutkijan tutkimuskulut, SAfi
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundinginformationOpen access funding provided by University of Jyväskylä (JYU). The first named author acknowledges ERC Starting Grant 676675 FLIRT. The second and third named authors are partially supported by the Academy of Finland, Projects 274372, 307333, 312488, and 314789.
dc.type.okmA1


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