| dc.contributor.author | Hencl, Stanislav | |
| dc.contributor.author | Onninen, Jani | |
| dc.date.accessioned | 2018-01-15T06:34:24Z | |
| dc.date.available | 2018-01-15T06:34:24Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Hencl, S., & Onninen, J. (2018). Jacobian of weak limits of Sobolev homeomorphisms. <em>Advances in Calculus of Variations</em>, 11 (1), 65-73. <a href="https://doi.org/10.1515/acv-2016-0005">doi:10.1515/acv-2016-0005</a> | |
| dc.identifier.other | TUTKAID_76475 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/56713 | |
| dc.description.abstract | Let Ω be a domain in Rn, where n=2,3. Suppose that a sequence of Sobolev homeomorphisms fk:Ω→Rn with positive Jacobian determinants, J(x,fk)>0, converges weakly in W1,p(Ω,Rn), for some p⩾1, to a mapping f. We show that J(x,f)⩾0 a.e. in Ω. Generalizations to higher dimensions are also given. | |
| dc.language.iso | eng | |
| dc.publisher | Walter de Gruyter GmbH | |
| dc.relation.ispartofseries | Advances in Calculus of Variations | |
| dc.subject.other | konvergenssi | |
| dc.subject.other | geometria | |
| dc.subject.other | kimmoisuus | |
| dc.subject.other | matematiikka | |
| dc.subject.other | Sobolev homeomorphism | |
| dc.subject.other | weak limits | |
| dc.subject.other | Jacobian | |
| dc.subject.other | convergence | |
| dc.subject.other | geometry | |
| dc.subject.other | elasticity (physical properties) | |
| dc.subject.other | mathematics | |
| dc.title | Jacobian of weak limits of Sobolev homeomorphisms | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201801111152 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Matematiikka | |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.date.updated | 2018-01-11T10:15:06Z | |
| dc.type.coar | journal article | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 65-73 | |
| dc.relation.issn | 1864-8258 | |
| dc.relation.volume | 11 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2018 Walter de Gruyter GmbH. Published in this repository with the kind permission of the publisher. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.doi | 10.1515/acv-2016-0005 | |
