论文标题
按照$（n-1）的统一估计 - $形成完全非线性的偏微分方程
On uniform estimates for $(n-1)-$form fully nonlinear partial differential equations on compact Hermitian manifolds
论文作者
论文摘要
我们获得了$（n-1） - $的总类别的先验$ l^\ infty $估计，以紧凑型Hermitian歧管上的完全非线性偏微分方程。我们的方法依赖于B. Guo和D. H. Phong早期开发的辅助Monge-ampère方程的本地版本。关键是找到适当的椭圆操作员，以便适用最大原理。
We obtain a priori $L^\infty$ estimate for a general class of $(n-1)-$form fully nonlinear partial differential equations on compact Hermitian manifolds. Our method relies on the local version of comparison with auxiliary Monge-Ampère equations, developed earlier by B. Guo and D. H. Phong. The key is to find the appropriate elliptic operator such that the maximum principle applies.
