k-Hessian curvature type equations in space forms
Files
Date
2022-03-10
Authors
Zhou, Jundong
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
A priori estimate, Curvature type equation, (eta, k)-convex, Star-shape, Space form
Citation
Zhou, J. (2022). k-Hessian curvature type equations in space forms. Electronic Journal of Differential Equations, 2022(18), pp. 1-14.
Rights
Attribution 4.0 International