dc.contributor.author | Koskela, Pekka | |
dc.contributor.author | Rajala, Tapio | |
dc.contributor.author | Zhang, Yi | |
dc.date.accessioned | 2017-11-29T09:13:13Z | |
dc.date.available | 2017-11-29T09:13:13Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Koskela, P., Rajala, T., & Zhang, Y. (2017). A density problem for Sobolev spaces on Gromov hyperbolic domains. <i>Nonlinear Analysis: Theory, Methods and Applications</i>, <i>154</i>, 189-209. <a href="https://doi.org/10.1016/j.na.2016.07.007" target="_blank">https://doi.org/10.1016/j.na.2016.07.007</a> | |
dc.identifier.other | CONVID_26176380 | |
dc.identifier.other | TUTKAID_70971 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/56037 | |
dc.description.abstract | We prove that for a bounded domain Ω ⊂ Rn which is Gromov hyperbolic with
respect to the quasihyperbolic metric, especially when Ω is a finitely connected
planar domain, the Sobolev space W1, ∞(Ω) is dense in W1, p(Ω) for any 1 ≤ p < ∞.
Moreover if Ω is also Jordan or quasiconvex, then C∞(Rn) is dense in W1, p(Ω) for
1 ≤ p < ∞. | |
dc.language.iso | eng | |
dc.publisher | Elsevier Ltd | |
dc.relation.ispartofseries | Nonlinear Analysis: Theory, Methods and Applications | |
dc.subject.other | Sobolev space | |
dc.title | A density problem for Sobolev spaces on Gromov hyperbolic domains | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201703161669 | |
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 | Mathematics | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2017-03-16T10:15:04Z | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 189-209 | |
dc.relation.issn | 0362-546X | |
dc.relation.numberinseries | 0 | |
dc.relation.volume | 154 | |
dc.type.version | submittedVersion | |
dc.rights.copyright | © 2016 Elsevier Ltd. This is a preprint version of an article whose final and definitive form has been published by Elsevier. Published in this repository with the kind permission of the publisher. | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.grantnumber | 274372 | |
dc.subject.yso | tiheys | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p14628 | |
dc.relation.doi | 10.1016/j.na.2016.07.007 | |
dc.relation.funder | Suomen Akatemia | fi |
dc.relation.funder | Academy of Finland | en |
jyx.fundingprogram | Akatemiatutkija, SA | fi |
jyx.fundingprogram | Academy Research Fellow, AoF | en |
jyx.fundinginformation | All authors were partially supported by the Academy of Finland (271983 and 274372). | |
dc.type.okm | A1 | |