dc.contributor.author | Julin, Vesa | |
dc.contributor.author | Liimatainen, Tony | |
dc.contributor.author | Salo, Mikko | |
dc.date.accessioned | 2018-01-15T10:12:49Z | |
dc.date.available | 2018-01-15T10:12:49Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Julin, V., Liimatainen, T., & Salo, M. (2017). p-harmonic coordinates for Hölder metrics and applications. <i>Communications in Analysis and Geometry</i>, <i>25</i>(2), 395-430. <a href="https://doi.org/10.4310/CAG.2017.v25.n2.a5" target="_blank">https://doi.org/10.4310/CAG.2017.v25.n2.a5</a> | |
dc.identifier.other | CONVID_27147515 | |
dc.identifier.other | TUTKAID_74598 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/56719 | |
dc.description.abstract | We 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.iso | eng | |
dc.publisher | International Press | |
dc.relation.ispartofseries | Communications in Analysis and Geometry | |
dc.subject.other | p-harmonic coordinates | |
dc.subject.other | Hölder metrics | |
dc.title | p-harmonic coordinates for Hölder metrics and applications | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201801121163 | |
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 | Inversio-ongelmien huippuyksikkö | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.contributor.oppiaine | Analysis and Dynamics Research (Centre of Excellence) | en |
dc.contributor.oppiaine | Centre of Excellence in Inverse Problems | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2018-01-12T10:15:11Z | |
dc.type.coar | journal article | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 395-430 | |
dc.relation.issn | 1019-8385 | |
dc.relation.numberinseries | 2 | |
dc.relation.volume | 25 | |
dc.type.version | acceptedVersion | |
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.accesslevel | openAccess | fi |
dc.relation.doi | 10.4310/CAG.2017.v25.n2.a5 | |