Equivalence of viscosity and weak solutions for the normalized p(x)-Laplacian

Siltakoski, Jarkko

doi:10.1007/s00526-018-1375-1

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