论文标题
riemannian歧管上的Krylov类型的完全非线性方程，负曲率
Fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature
论文作者
论文摘要
在本文中，我们考虑了在带有负曲率的riemannian歧管上的Krylov类型的完全非线性方程，这自然是在保形几何形状中。此外，我们证明了对这些方程的解决方案的先验估计，并确定了存在结果。我们的结果可以看作是Gursky-Viaclovsky和Li-Sheng给出的先前结果的扩展。
In this paper, we consider fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature which naturally arise in conformal geometry. Moreover, we prove the a priori estimates for solutions to these equations and establish the existence results. Our results can be viewed as an extension of previous results given by Gursky-Viaclovsky and Li-Sheng.
