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Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 136, Number 2, April 2014
- pp. 481-499
- 10.1353/ajm.2014.0009
- Article
- Additional Information
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We derive a priori interior Hessian estimates for special Lagrangian equation with critical and supercritical phases in general higher dimensions. Our unified approach leads to sharper estimates even for the previously known three dimensional and convex solution cases.