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math.AP2025
Semi-convex viscosity solutions of the special Lagrangian equation
Connor Mooney, Ravi Shankar
We prove smoothness and interior derivative estimates for viscosity solutions to the special Lagrangian equation with almost negative phases and small enough semi-convexity. We sho…
math.AP2025
Remarks on the quadratic Hessian equation
Connor Mooney
We prove that viscosity solutions to the quadratic Hessian equation cannot touch a harmonic function on a minimal surface from below. This can be viewed as a form…