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dc.contributor.authorJulin, Vesa
dc.contributor.authorLiimatainen, Tony
dc.contributor.authorSalo, Mikko
dc.date.accessioned2018-01-15T10:12:49Z
dc.date.available2018-01-15T10:12:49Z
dc.date.issued2017
dc.identifier.citationJulin, V., Liimatainen, T., & Salo, M. (2017). p-harmonic coordinates for Hölder metrics and applications. <em>Communications in Analysis and Geometry</em>, 25 (2), 395-430. <a href="https://doi.org/10.4310/CAG.2017.v25.n2.a5">doi:10.4310/CAG.2017.v25.n2.a5</a>
dc.identifier.otherTUTKAID_74598
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/56719
dc.description.abstractWe show that on any Riemannian manifold with H¨older continuous metric tensor, there exists a p-harmonic coordinate system near any point. When p = n this leads to a useful gauge condition for regularity results in conformal geometry. As applications, we show that any conformal mapping between manifolds having C α metric tensors is C 1+α regular, and that a manifold with W1,n ∩ C α metric tensor and with vanishing Weyl tensor is locally conformally flat if n ≥ 4. The results extend the works [LS14, LS15] from the case of C 1+α metrics to the H¨older continuous case. In an appendix, we also develop some regularity results for overdetermined elliptic systems in divergence form.
dc.language.isoeng
dc.publisherInternational Press
dc.relation.ispartofseriesCommunications in Analysis and Geometry
dc.subject.otherp-harmonic coordinates
dc.subject.otherHölder metrics
dc.titlep-harmonic coordinates for Hölder metrics and applications
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201801121163
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikka
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2018-01-12T10:15:11Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange395-430
dc.relation.issn1019-8385
dc.relation.volume25
dc.type.versionacceptedVersion
dc.rights.copyright© the Authors, 2017. This is a final draft version of an article whose final and definitive form has been published by International Press. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.4310/CAG.2017.v25.n2.a5


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