A simple proof of curvature estimate for convex solution of 𝑘-Hessian equation

Chu, Jianchun

doi:10.1090/proc/15408

A simple proof of curvature estimate for convex solution of $k$-Hessian equation
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Proc. Amer. Math. Soc. 149 (2021), 3541-3552 Request permission

Abstract:

Guan-Ren-Wang [Comm. Pure Appl. Math. 68 (2015), pp. 1287–1325] established the curvature estimate of convex hypersurface satisfying the Weingarten curvature equation $\sigma _{k}(\kappa (X)) = f(X,\nu (X))$. In this note, we give a simple proof of this result.

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