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Special cases of the planar least gradient problem

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dc.abstract.enWe study two special cases of the planar least gradient problem. In the first one, the boundary conditions are imposed on a part of a strictly convex domain. In the second case, we impose the Dirichlet data on the boundary of a rectangle, an example of convex but not strictly convex domain. We show the existence of solutions and study their properties for particular cases of boundary data.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorSabra, Ahmad
dc.contributor.authorRybka, Piotr
dc.contributor.authorGórny, Wojciech
dc.date.accessioned2024-01-26T07:54:28Z
dc.date.available2024-01-26T07:54:28Z
dc.date.issued2017
dc.date.openaccess0
dc.description.accesstimeAFTER_PUBLICATION
dc.description.financeNie dotyczy
dc.description.versionFINAL_PUBLISHED
dc.description.volume151
dc.identifier.doi10.1016/J.NA.2016.11.020
dc.identifier.issn0362-546X
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/120312
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofNonlinear Analysis, Theory, Methods and Applications
dc.relation.pages66-95
dc.rightsCC-BY-NC-ND
dc.sciencecloudnosend
dc.subject.enPlanar least gradient Dirichlet and natural boundary conditions Convex but non-strictly convex domains
dc.titleSpecial cases of the planar least gradient problem
dc.typeJournalArticle
dspace.entity.typePublication