Interior C^{2} estimates hold for semi-convex solutions of σ_{3}(D^{2}u)/σₗ(D^{2}u)=1 (l=1,2) and related sum equations in arbitrary dimensions, together with rigidity results.
Strict 2-convexity of convex solutions to the quadratic Hessian equa- tion
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Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions
Interior C^{2} estimates hold for semi-convex solutions of σ_{3}(D^{2}u)/σₗ(D^{2}u)=1 (l=1,2) and related sum equations in arbitrary dimensions, together with rigidity results.