2 00 7 Hessian Estimates for the Sigma - 2 Equation in Dimension Three
نویسنده
چکیده
We derive a priori interior Hessian estimates for the special Lagrangian equation σ2 = 1 in dimension three.
منابع مشابه
A Priori Estimates for Solutions of Fully Nonlinear Special Lagrangian Equations
Abstract. We derive an a priori C estimate in dimension three for the equation F (Du) = arctanλ1 + arctanλ2 + arctanλ3 = c, where λ1, λ2, λ3 are the eigenvalues of the Hessian Du. For − 2 < c < π 2 , the c-level set of F (Du) fails the convexity condition. Note that for any solution u of the above equation, (x,▽u(x)) is a minimizing graph in R. For c = 0,±π, the equation is equivalent to △u = d...
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