超临界相位的Special Lagrangian方程的狄利克雷边值问题

THE DIRICHLET PROBLEM OF A SPECIAL LAGRANGIAN TYPE EQUATION WITH SUPERCRITICAL PHASE

在这篇文章中,我们介绍了一种Special Lagrangian方程,并且研究此方程在超临界相位时对应的狄利克雷边值问题.通过建立整体的C 2估计,运用经典的连续性方法得到解的存在性.

In this paper,we introduce a special Lagrangian type operator,and consider the corresponding Dirichlet problem of the special Lagrangian type equation with supercritical phase.By establishing the global C 2 estimates,we obtain the existence theorem of classical solutions by the method of continuity.