The Dirichlet problem for mixed Hessian equations on Hermitian manifolds
Analysis of PDEs
2022-01-14 v1 Differential Geometry
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.
Cite
@article{arxiv.2201.05030,
title = {The Dirichlet problem for mixed Hessian equations on Hermitian manifolds},
author = {Qiang Tu and Ni Xiang},
journal= {arXiv preprint arXiv:2201.05030},
year = {2022}
}
Comments
32 pages. arXiv admin note: text overlap with arXiv:2107.12035 by other authors