k-Hessian curvature type equations in space forms

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dc.contributor.authorZhou, Jundong
dc.date.accessioned2023-04-17T14:40:49Z
dc.date.available2023-04-17T14:40:49Z
dc.date.issued2022-03-10
dc.description.abstractIn this article, we study closed star-shaped (eta, k)-convex hypersurfaces in space forms satisfying a class of k-Hessian curvature type equations. Firstly, using the maximum principle, we obtain a priori estimates for the class of Hessian curvature type equations. Secondly, we obtain an existence result by using standard degree theory based on a priori estimates.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhou, J. (2022). k-Hessian curvature type equations in space forms. Electronic Journal of Differential Equations, 2022(18), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16577
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, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectA priori estimate
dc.subjectCurvature type equation
dc.subject(eta, k)-convex
dc.subjectStar-shape
dc.subjectSpace form
dc.titlek-Hessian curvature type equations in space forms
dc.typeArticle

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