k-Hessian curvature type equations in space forms

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. <i>Electronic Journal of Differential Equations, 2022</i>(18), pp. 1-14.

Rights

Attribution 4.0 International

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