Work

Alternative proof of the gradient estimate for complex Hessian equations

Year: 2026

Type: preprint

Abstract: For complex Hessian equations on compact Kähler manifolds, we give an alternative proof of the gradient estimate without using blow-up argument, and clarify its dependence on the right-hand side. In addition, using the similar approach, the case of Kähler manifolds with boundary is also investigated.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.33091

Authors: Chu, Jianchun, Liu, Yaxiong

Institutions: Chongqing University of Technology, University of Maryland, College Park

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Westlake University, National Natural Science Foundation of China

Awards: G2538611429, G377084566

OpenAlex ID: W7214716720

Cites: 2

Cited by: 1

Related to: 10