论文标题

一类混合复杂的Hessian方程的Neumann问题

The Neumann problem for a class of mixed complex Hessian equations

论文作者

Chen, Chuan-Qiang, Chen, Li, Xiang, Ni

论文摘要

在本文中,我们考虑了一类混合复杂的Hessian方程的Neumann问题,并确定全局c^1估计,并将全局第二个衍生估计值降低到边界上双重正常第二个衍生物的估计值。特别是,我们可以证明当k = n时的全局c^2估计值和存在定理。

In this paper, we consider the Neumann problem of a class of mixed complex Hessian equations, and establish the global C^1 estimates a nd reduce the global second derivative estimate to the estimate of double normal second derivatives on the boundary. In particular, we can prove the global C^2 estimates and the existence theorems when k=n.

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