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Least gradient problem with respect to a non-strictly convex norm

cris.lastimport.scopus2024-02-12T20:47:54Z
dc.abstract.enWe study the planar least gradient problem with respect to an anisotropic norm for continuous boundary data. We prove existence of minimizers for strictly convex domains. Furthermore, we inspect the issue of uniqueness and regularity of minimizers only in terms of the modes of convexity of the norm and the domain. The results are independent from the regularity of the norm.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorGórny, Wojciech
dc.date.accessioned2024-01-25T05:08:15Z
dc.date.available2024-01-25T05:08:15Z
dc.date.issued2020
dc.description.financePublikacja bezkosztowa
dc.description.volume200
dc.identifier.doi10.1016/J.NA.2020.112049
dc.identifier.issn0362-546X
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/111037
dc.identifier.weblinkhttps://api.elsevier.com/content/article/PII:S0362546X20302455?httpAccept=text/xml
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofNonlinear Analysis, Theory, Methods and Applications
dc.relation.pages112049
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleLeast gradient problem with respect to a non-strictly convex norm
dc.typeJournalArticle
dspace.entity.typePublication