dc.contributor.author | Campbell, D. | |
dc.contributor.author | Hencl, S. | |
dc.contributor.author | Tengvall, Ville | |
dc.date.accessioned | 2019-04-12T05:02:15Z | |
dc.date.available | 2020-06-21T21:35:13Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Campbell, D., Hencl, S., & Tengvall, V. (2018). Approximation of W1,p Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian. <i>Advances in Mathematics</i>, <i>331</i>, 748-829. <a href="https://doi.org/10.1016/j.aim.2018.04.017" target="_blank">https://doi.org/10.1016/j.aim.2018.04.017</a> | |
dc.identifier.other | CONVID_28081817 | |
dc.identifier.other | TUTKAID_77792 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/63466 | |
dc.description.abstract | Let Ω ⊂ R n, n ≥ 4, be a domain and 1 ≤ p < [n/2], where [a] stands for the integer part of a. We construct a homeomorphism f ∈ W1,p((−1, 1)n, R n) such that Jf = det Df > 0 on a set of positive measure and Jf < 0 on a set of positive measure. It follows that there are no diffeomorphisms (or piecewise affine homeomorphisms) fk such that fk → f in W1,p . | fi |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Elsevier Inc. | |
dc.relation.ispartofseries | Advances in Mathematics | |
dc.rights | CC BY-NC-ND 4.0 | |
dc.subject.other | Jacobian | |
dc.subject.other | Sobolev homeomorphism | |
dc.title | Approximation of W1,p Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201904052076 | |
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 | 2019-04-05T06:15:11Z | |
jyx.note.uri | http://urn.fi/URN:NBN:fi:jyu-201611184661 | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 748-829 | |
dc.relation.issn | 0001-8708 | |
dc.relation.numberinseries | 0 | |
dc.relation.volume | 331 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © 2018 Elsevier Inc. | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.grantnumber | 277923 | |
dc.subject.yso | approksimointi | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p4982 | |
dc.rights.url | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.relation.doi | 10.1016/j.aim.2018.04.017 | |
dc.relation.funder | Suomen Akatemia | fi |
dc.relation.funder | Research Council of Finland | en |
jyx.fundingprogram | Akatemiahanke, SA | fi |
jyx.fundingprogram | Academy Project, AoF | en |
jyx.fundinginformation | All authors were supported by the ERC CZ grant LL1203 of the Czech Ministry of Education. V. Tengvall was also supported by the Vilho, Yrjö and Kalle Väisälä foundation and the Academy of Finland Project 277923. | |
dc.type.okm | A1 | |