Self-improving phenomena in the calculus of variations on metric spaces

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorMaasalo, Outi Elina
dc.contributor.departmentMatematiikan laitosfi
dc.date.accessioned2012-08-20T06:03:43Z
dc.date.available2012-08-20T06:03:43Z
dc.date.issued2008
dc.description.abstractThis dissertation studies the integrability properties of functions related to the calculus of variations on metric measure spaces that support a weak Poincaré inequality and a doubling measure. The work consists of three articles in which we study the higher integrability of functions satisfying a reverse Hölder inequality, quasiminimizers of the Dirichlet integral and superharmonic functions.en
dc.format.extentVerkkokirja (259 KB, 22 s.)
dc.format.mimetypeapplication/pdf
dc.identifier.isbn978-951-22-9269-1
dc.identifier.isbn978-951-22-9268-4 (printed)#8195;
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/4488
dc.identifier.urnURN:ISBN:978-951-22-9269-1
dc.language.isoenen
dc.publisherTeknillinen korkeakouluen
dc.relation.haspart[Publication 1]: Outi Elina Maasalo. The Gehring lemma in metric spaces. http://arxiv.org, arXiv:0704.3916v3 [math.CA]. © 2008 by author.en
dc.relation.haspart[Publication 2]: Outi Elina Maasalo and Anna Zatorska-Goldstein. Stability of quasiminimizers of the p-Dirichlet integral with varying p on metric spaces. Journal of the London Mathematical Society, to appear.en
dc.relation.haspart[Publication 3]: Outi Elina Maasalo. Global integrability of p-superharmonic functions on metric spaces. Journal d'Analyse Mathématique, to appear.en
dc.subject.keywordBMO functionen
dc.subject.keywordCaccioppoli inequalityen
dc.subject.keywordcapacityen
dc.subject.keyworddoubling measureen
dc.subject.keywordGehring lemmaen
dc.subject.keywordgeodesic spaceen
dc.subject.keywordglobal integrabilityen
dc.subject.keywordhigher integrabilityen
dc.subject.keywordHölder domainen
dc.subject.keywordmetric spaceen
dc.subject.keywordMuckenhoupt weighten
dc.subject.keywordNewtonian spaceen
dc.subject.keywordp-fatnessen
dc.subject.keywordPoincaré inequalityen
dc.subject.keywordquasiminimizeren
dc.subject.keywordreverse Hölder inequalityen
dc.subject.keywordsuperharmonic functionen
dc.subject.keywordsuperminimizeren
dc.subject.keywordstabilityen
dc.titleSelf-improving phenomena in the calculus of variations on metric spacesen
dc.typeG5 Artikkeliväitöskirjafi
dc.type.dcmitypetexten
dc.type.ontasotVäitöskirja (artikkeli)fi
dc.type.ontasotDoctoral dissertation (article-based)en
local.aalto.digiauthask
local.aalto.digifolderAalto_64848
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