Second order estimates for equations with sums of Hessian operators on Hermitian manifolds
Analysis of PDEs
2026-03-20 v1 Differential Geometry
Abstract
In this paper, we establish an a priori second-order estimate for admissible solutions satisfying a dynamic plurisubharmonic condition to equations involving sums of Hessian operators on compact Hermitian manifolds. The estimate is derived using a concavity inequality for complex sum-of-Hessian operators.
Keywords
Cite
@article{arxiv.2603.19045,
title = {Second order estimates for equations with sums of Hessian operators on Hermitian manifolds},
author = {Weisong Dong and Ruijia Zhang},
journal= {arXiv preprint arXiv:2603.19045},
year = {2026}
}
Comments
24 pages, comments welcome