dc.contributor.author | Aydın, Muhittin Evren | |
dc.contributor.author | Erdur, A. | |
dc.contributor.author | Ergüt, Mahmut | |
dc.date.accessioned | 2022-05-11T14:04:42Z | |
dc.date.available | 2022-05-11T14:04:42Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 0304-9914 | |
dc.identifier.uri | https://doi.org/10.4134/JKMS.j190851 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11776/4727 | |
dc.description.abstract | In 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. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Korean Mathematical Society | en_US |
dc.identifier.doi | 10.4134/JKMS.j190851 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Cylinder | en_US |
dc.subject | Singular minimal hypersurface | en_US |
dc.subject | Translation graph | en_US |
dc.subject | Translation hypersurface | en_US |
dc.subject | ?-catenary | en_US |
dc.title | Singular minimal translation graphs in euclidean spaces | en_US |
dc.type | article | en_US |
dc.relation.ispartof | Journal of the Korean Mathematical Society | en_US |
dc.department | Fakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.identifier.volume | 58 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 109 | en_US |
dc.identifier.endpage | 122 | en_US |
dc.institutionauthor | Erdur, A. | |
dc.institutionauthor | Ergüt, Mahmut | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.authorscopusid | 56623974600 | |
dc.authorscopusid | 57219478313 | |
dc.authorscopusid | 7801537372 | |
dc.identifier.wos | WOS:000604421800006 | en_US |
dc.identifier.scopus | 2-s2.0-85099353170 | en_US |