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Least gradient problem with respect to a non-strictly convex norm
cris.lastimport.scopus | 2024-02-12T20:47:54Z |
dc.abstract.en | We 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.affiliation | Uniwersytet Warszawski |
dc.contributor.author | Górny, Wojciech |
dc.date.accessioned | 2024-01-25T05:08:15Z |
dc.date.available | 2024-01-25T05:08:15Z |
dc.date.issued | 2020 |
dc.description.finance | Publikacja bezkosztowa |
dc.description.volume | 200 |
dc.identifier.doi | 10.1016/J.NA.2020.112049 |
dc.identifier.issn | 0362-546X |
dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/111037 |
dc.identifier.weblink | https://api.elsevier.com/content/article/PII:S0362546X20302455?httpAccept=text/xml |
dc.language | eng |
dc.pbn.affiliation | mathemathics |
dc.relation.ispartof | Nonlinear Analysis, Theory, Methods and Applications |
dc.relation.pages | 112049 |
dc.rights | ClosedAccess |
dc.sciencecloud | nosend |
dc.title | Least gradient problem with respect to a non-strictly convex norm |
dc.type | JournalArticle |
dspace.entity.type | Publication |