Hessian estimates for the sigma‐2 equationin dimension 3

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Singular solutions to special Lagrangian equations with subcritical phases and minimal surface systems (2011, background): “Dirichlet problem with smooth boundary data to the now convex special Lagrangian equation (1.1) in the critical and supercritical phase cases, the regularity of C0 viscosity solutions were derived in [WY1] [WY2] [WY3] [CWY]. In passing, we also mention that the existence and uniquenessof the C0 visc”
Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions (2011, methodology): “ kkγ + X k6= γ " 1 + 2λγ λγ −λk + λ2 γ (λγ +λk) λγ −λk # h2 γγk + X k>j k, j6= γ 2λγ " 1 +λ2 k λγ −λk + 1 +λ2 j λγ −λj +(λj +λk) # h2 kjγ. Proof. The calculation was done in Lemma 2.1 of [WY2]. Lemma 2.3. Let u be a smooth solution to (1.1) with Θ ≥ (n− 2)π 2. Suppose that the ordered e”