论文标题
关于特殊拉格朗日曲率电位方程的Dirichlet问题
On the Dirichlet problem for special Lagrangian curvature potential equation
论文作者
论文摘要
在本文中,我们研究了一类特殊的拉格朗日曲率方程式,并获得了用于迪里奇问题的平滑解决方案。存在结果基于对全局$ c^{0} $,$ c^{1} $和$ c^{2} $解决方案规范的先验估计。
In this paper, we study a class of special Lagrangian curvature potential equations and obtain the existence of smooth solutions for Dirichlet problem. The existence result is based on a priori estimates of global $C^{0}$, $C^{1}$ and $C^{2}$ norms of solutions under the assumption of existence of a subsolution.