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dc.contributor.authorAttouchi, Amal
dc.contributor.authorRuosteenoja, Eero
dc.date.accessioned2018-06-05T06:57:34Z
dc.date.available2020-09-06T21:35:08Z
dc.date.issued2018
dc.identifier.citationAttouchi, 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.otherCONVID_28004567
dc.identifier.otherTUTKAID_77380
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/58349
dc.description.abstractWe 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.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherAcademic Press
dc.relation.ispartofseriesJournal of Differential Equations
dc.rightsCC BY-NC-ND 4.0
dc.subject.otherp-Laplacian
dc.subject.otherviscosity solutions
dc.subject.otherlocal C1,α regularity
dc.subject.otherintegrability of second derivatives
dc.titleRemarks on regularity for p-Laplacian type equations in non-divergence form
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201805252794
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2018-05-25T12:15:04Z
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange1922-1961
dc.relation.issn0022-0396
dc.relation.numberinseries5
dc.relation.volume265
dc.type.versionacceptedVersion
dc.rights.copyright© 2018 Elsevier Inc.
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber307870
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.subject.ysoviskositeetti
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
jyx.subject.urihttp://www.yso.fi/onto/yso/p6240
dc.rights.urlhttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi10.1016/j.jde.2018.04.017
dc.relation.funderSuomen Akatemiafi
dc.relation.funderAcademy of Finlanden
jyx.fundingprogramTutkijatohtori, SAfi
jyx.fundingprogramPostdoctoral Researcher, AoFen
jyx.fundinginformationA.A. is supported by the Academy of Finland, project number 307870.
dc.type.okmA1


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