Zhou, Jundong2023-04-172023-04-172022-03-10Zhou, J. (2022). k-Hessian curvature type equations in space forms. <i>Electronic Journal of Differential Equations, 2022</i>(18), pp. 1-14.1072-6691https://hdl.handle.net/10877/16577In 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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalA priori estimateCurvature type equation(eta, k)-convexStar-shapeSpace formArticle