Global continuity and higher integrability of a minimizer of an obstacle problem under generalized Orlicz growth conditions

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dc.contributor.authorArttu Karppinen
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id44958959
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/44958959
dc.date.accessioned2022-10-27T11:50:50Z
dc.date.available2022-10-27T11:50:50Z
dc.description.abstract<p>We prove continuity up to the boundary of the minimizer of an obstacle problem and higher integrability of its gradient under generalized Orlicz growth. The result recovers similar results obtained in the special cases of polynomial growth, variable exponent growth and produces new results for Orlicz and double phase growth.<br></p>
dc.format.pagerange67
dc.format.pagerange94
dc.identifier.eissn1432-1785
dc.identifier.jour-issn0025-2611
dc.identifier.olddbid172251
dc.identifier.oldhandle10024/155345
dc.identifier.urihttps://www.utupub.fi/handle/11111/29930
dc.identifier.urlhttps://link.springer.com/article/10.1007/s00229-019-01173-2
dc.identifier.urnURN:NBN:fi-fe2021042821332
dc.language.isoen
dc.okm.affiliatedauthorKarppinen, Arttu
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherSpringer
dc.publisher.countryGermanyen_GB
dc.publisher.countrySaksafi_FI
dc.publisher.country-codeDE
dc.relation.doi10.1007/s00229-019-01173-2
dc.relation.ispartofjournalmanuscripta mathematica
dc.relation.volume164
dc.source.identifierhttps://www.utupub.fi/handle/10024/155345
dc.titleGlobal continuity and higher integrability of a minimizer of an obstacle problem under generalized Orlicz growth conditions
dc.year.issued2021

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