dc.contributor.author | Siltakoski, Jarkko | |
dc.date.accessioned | 2019-02-21T10:58:21Z | |
dc.date.available | 2019-09-01T21:35:16Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Siltakoski, 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.other | CONVID_28139463 | |
dc.identifier.other | TUTKAID_78126 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/62921 | |
dc.description.abstract | We 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.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartofseries | Calculus of Variations and Partial Differential Equations | |
dc.rights | In Copyright | |
dc.subject.other | osittaisdifferentiaaliyhtälöt | fi |
dc.subject.other | partial differential equations | fi |
dc.title | Equivalence of viscosity and weak solutions for the normalized p(x)-Laplacian | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201902131495 | |
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 | 2019-02-13T13:15:16Z | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.relation.issn | 0944-2669 | |
dc.relation.numberinseries | 4 | |
dc.relation.volume | 57 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © Springer-Verlag GmbH Germany, part of Springer Nature 2018. | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
dc.relation.doi | 10.1007/s00526-018-1375-1 | |
dc.type.okm | A1 | |