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dc.contributor.authorSiltakoski, Jarkko
dc.date.accessioned2019-02-21T10:58:21Z
dc.date.available2019-09-01T21:35:16Z
dc.date.issued2018
dc.identifier.citationSiltakoski, J. (2018). Equivalence of viscosity and weak solutions for the normalized p(x)-Laplacian. <i>Calculus of Variations and Partial Differential Equations</i>, <i>57</i>(4), Article 95. <a href="https://doi.org/10.1007/s00526-018-1375-1" target="_blank">https://doi.org/10.1007/s00526-018-1375-1</a>
dc.identifier.otherCONVID_28139463
dc.identifier.otherTUTKAID_78126
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/62921
dc.description.abstractWe show that viscosity solutions to the normalized p(x)-Laplace equation coincide with distributional weak solutions to the strong p(x)-Laplace equation when p is Lipschitz and inf p > 1. This yields C 1,α regularity for the viscosity solutions of the normalized p(x)-Laplace equation. As an additional application, we prove a Radó-type removability theorem.fi
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofseriesCalculus of Variations and Partial Differential Equations
dc.rightsIn Copyright
dc.subject.otherosittaisdifferentiaaliyhtälötfi
dc.subject.otherpartial differential equationsfi
dc.titleEquivalence of viscosity and weak solutions for the normalized p(x)-Laplacian
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201902131495
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.updated2019-02-13T13:15:16Z
dc.description.reviewstatuspeerReviewed
dc.relation.issn0944-2669
dc.relation.numberinseries4
dc.relation.volume57
dc.type.versionacceptedVersion
dc.rights.copyright© Springer-Verlag GmbH Germany, part of Springer Nature 2018.
dc.rights.accesslevelopenAccessfi
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1007/s00526-018-1375-1


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