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arXiv · 2201.05030

The Dirichlet problem for mixed Hessian equations on Hermitian manifolds

Qiang Tu·Ni Xiang
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Abstract

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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Qiang Tu, Ni Xiang. 2022-01-13. The Dirichlet problem for mixed Hessian equations on Hermitian manifolds. https://arxiv.org/abs/2201.05030

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