论文标题

Hermitian流形的混合Hessian方程式的Dirichlet问题

The Dirichlet problem for mixed Hessian equations on Hermitian manifolds

论文作者

Tu, Qiang, Xiang, Ni

论文摘要

在本文中,我们研究了一类Hessian类型方程的Dirichlet问题,其结构是基本对称函数在Hermitian歧管上的组合。在某些条件下,具有关于多种多样和可允许亚物物的初始数据,我们对相应的Dirichlet问题的这种复杂混合的Hessian方程和可溶性得出了先验估计。

In this paper we study the Dirichlet problem for a class of Hessian type equation with its structure as a combination of elementary symmetric functions on Hermitian manifolds. Under some conditions with the initial data on manifolds and admissible subsolutions, we derive a priori estimates for this complex mixed Hessian equation and solvability of the corresponding Dirichlet problem.

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