Singular Monge-Ampere equations over convex domains

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dc.contributor.authorLi, Mengni
dc.date.accessioned2022-10-26T16:39:40Z
dc.date.available2022-10-26T16:39:40Z
dc.date.issued2021-10-18
dc.description.abstractIn this article we are interested in the Dirichlet problem for a class of singular Monge-Ampère equations over convex domains being either bounded or unbounded. By constructing a family of sub-solutions, we prove the existence and global Hölder estimates of convex solutions to the problem over convex domains. The global regularity provided essentially depends on the convexity of the domain.
dc.description.departmentMathematics
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLi, M. (2021). Singular Monge-Ampere equations over convex domains. <i>Electronic Journal of Differential Equations, 2021</i>(86), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16244
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectDirichlet problem
dc.subjectHölder estimate
dc.subjectBounded convex domain
dc.subjectUnbounded convex domain
dc.titleSingular Monge-Ampere equations over convex domains
dc.typeArticle

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