Singular minimal translation graphs in euclidean spaces

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dc.authorscopusid56623974600
dc.authorscopusid57219478313
dc.authorscopusid7801537372
dc.contributor.authorAydın, Muhittin Evren
dc.contributor.authorErdur, A.
dc.contributor.authorErgüt, Mahmut
dc.date.accessioned2022-05-11T14:04:42Z
dc.date.available2022-05-11T14:04:42Z
dc.date.issued2021
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, we consider the problem of finding the hypersurface Mn in the Euclidean (n + 1)-space Rn+1 that satisfies an equation of mean curvature type, called singular minimal hypersurface equation. Such an equation physically characterizes the surfaces in the upper halfspace R3+(u) with lowest gravity center, for a fixed unit vector u?R3 . We first state that a singular minimal cylinder Mn in Rn+1 is either a hyperplane or a ?-catenary cylinder. It is also shown that this result remains true when Mn is a translation hypersurface and u is a horizantal vector. As a further application, we prove that a singular minimal translation graph in R3 of the form z = f(x) + g(y + cx), c ? R ? {0}, with respect to a certain horizantal vector u is either a plane or a ?-catenary cylinder. © 2021 Korean Mathematical Society.
dc.identifier.doi10.4134/JKMS.j190851
dc.identifier.endpage122
dc.identifier.issn0304-9914
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85099353170
dc.identifier.scopusqualityQ3
dc.identifier.startpage109
dc.identifier.urihttps://doi.org/10.4134/JKMS.j190851
dc.identifier.urihttps://hdl.handle.net/20.500.11776/4727
dc.identifier.volume58
dc.identifier.wosWOS:000604421800006
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorErdur, A.
dc.institutionauthorErgüt, Mahmut
dc.language.isoen
dc.publisherKorean Mathematical Society
dc.relation.ispartofJournal of the Korean Mathematical Society
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCylinder
dc.subjectSingular minimal hypersurface
dc.subjectTranslation graph
dc.subjectTranslation hypersurface
dc.subject?-catenary
dc.titleSingular minimal translation graphs in euclidean spaces
dc.typeArticle

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