| dc.contributor.author | Tengvall, Ville | |
| dc.date.accessioned | 2016-04-01T07:15:35Z | |
| dc.date.available | 2016-04-01T07:15:35Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Tengvall, V. (2014). Differentiability in the Sobolev space W1,n-1. <i>Calculus of variations and partial differential equations</i>, <i>51</i>(1-2), 381-399. <a href="https://doi.org/10.1007/s00526-013-0679-4" target="_blank">https://doi.org/10.1007/s00526-013-0679-4</a> | |
| dc.identifier.other | CONVID_23809293 | |
| dc.identifier.other | TUTKAID_62637 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/49230 | |
| dc.description.abstract | Let Ω ⊂ Rn be a domain, n ≥ 2. We show that a continuous, open and
discrete mapping f ∈ W1,n−1
loc (Ω, Rn
) with integrable inner distortion is differentiable
almost everywhere on Ω. As a corollary we get that the branch set of such a mapping
has measure zero. | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Calculus of variations and partial differential equations | |
| dc.subject.other | 26B10 | |
| dc.subject.other | 28A5 | |
| dc.subject.other | 30C65 | |
| dc.subject.other | 46E35 | |
| dc.title | Differentiability in the Sobolev space W1,n-1 | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201604011976 | |
| 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 | 2016-04-01T06:15:03Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 381-399 | |
| dc.relation.issn | 0944-2669 | |
| dc.relation.numberinseries | 1-2 | |
| dc.relation.volume | 51 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © Springer-Verlag Berlin Heidelberg 2013. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.doi | 10.1007/s00526-013-0679-4 | |
| dc.type.okm | A1 | |
