Notes on generalized special Lagrangian equation
Abstract
We obtain a prior C1,1 estimates for some Hessian (quotient) equations with positive Lipschitz right hand sides, through studying a twisted special Lagrangian equation. The results imply the interior C2,α regularity for C0 viscosity solutions to σ2=f2(x) in dimension 3, with positive Lipschitz f(x).
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