Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions
Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions
复制标题
DOI：
10.1353/ajm.2014.0009
复制
发表时间：
2011-10
影响因子：
1.7
通讯作者：
Dake Wang;Yu Yuan
中科院分区：
文献类型：
--
作者：
Dake Wang;Yu Yuan
在一般高维条件下，导出了具有临界相和超临界相的特殊拉格朗日方程的先验内Hessian估计。我们统一的方法导致更清晰的估计，甚至对以前已知的三维和凸解的情况。
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.