Interior C² regularity holds for convex viscosity solutions of σ₂(D²u)=f when f is C^{0,1} with inf f>0, but fails for merely continuous f.
A priori interior estimates for special Lagrangian curvature equations
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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.
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Regularity for convex viscosity solutions of $\sigma_2$ Equation
Interior C² regularity holds for convex viscosity solutions of σ₂(D²u)=f when f is C^{0,1} with inf f>0, but fails for merely continuous f.
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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.