dc.contributor.author | Attouchi, Amal | |
dc.contributor.author | Ruosteenoja, Eero | |
dc.date.accessioned | 2018-06-05T06:57:34Z | |
dc.date.available | 2020-09-06T21:35:08Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Attouchi, A., & Ruosteenoja, E. (2018). Remarks on regularity for p-Laplacian type equations in non-divergence form. <i>Journal of Differential Equations</i>, <i>265</i>(5), 1922-1961. <a href="https://doi.org/10.1016/j.jde.2018.04.017" target="_blank">https://doi.org/10.1016/j.jde.2018.04.017</a> | |
dc.identifier.other | CONVID_28004567 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/58349 | |
dc.description.abstract | We study a singular or degenerate equation in non-divergence form modeled on the p-Laplacian, −|Du|γ(Δu+(p−2)Δ∞ Nu)=finΩ. We investigate local C1,α regularity of viscosity solutions in the full range γ>−1 and p>1, and provide local W2,2 estimates in the restricted cases where p is close to 2 and γ is close to 0. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Academic Press | |
dc.relation.ispartofseries | Journal of Differential Equations | |
dc.rights | CC BY-NC-ND 4.0 | |
dc.subject.other | p-Laplacian | |
dc.subject.other | viscosity solutions | |
dc.subject.other | local C1,α regularity | |
dc.subject.other | integrability of second derivatives | |
dc.title | Remarks on regularity for p-Laplacian type equations in non-divergence form | |
dc.type | research article | |
dc.identifier.urn | URN:NBN:fi:jyu-201805252794 | |
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 | 2018-05-25T12:15:04Z | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 1922-1961 | |
dc.relation.issn | 0022-0396 | |
dc.relation.numberinseries | 5 | |
dc.relation.volume | 265 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © 2018 Elsevier Inc. | |
dc.rights.accesslevel | openAccess | fi |
dc.type.publication | article | |
dc.relation.grantnumber | 307870 | |
dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
dc.subject.yso | viskositeetti | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p6240 | |
dc.rights.url | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.relation.doi | 10.1016/j.jde.2018.04.017 | |
dc.relation.funder | Suomen Akatemia | fi |
dc.relation.funder | Academy of Finland | en |
jyx.fundingprogram | Tutkijatohtori, SA | fi |
jyx.fundingprogram | Postdoctoral Researcher, AoF | en |
jyx.fundinginformation | A.A. is supported by the Academy of Finland, project number 307870. | |
dc.type.okm | A1 | |