Interior Hessian estimates for sum Hessian quotient equation

Abstract

This paper is devoted to the interior C2 estimates for a class of sum Hessian quotient equations. For 0≤ l<k<n, we establish the interior estimates and the Pogorelov type estimates. In the case k=n, we obtain a weaker Pogorelov type estimate for 0≤ l<n-1.

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