2 papers
math.AP2026
Uniform estimates and Brezis-Merle type inequalities for the -Hessian equation
Jie Deng, Haibin Wang, Bin Zhou
In this paper, we prove a Brezis-Merle type inequality for -convex functions vanishing on the boundary. As an application, we establish an Alexandrov-Bakelman-Pucci type estimat…
math.DG2025
The rigidity of dimension estimate for holomorphic functions on Kähler manifolds
Jianchun Chu, Jie Deng, Zihang Hao +1
In this paper, we obtain the optimal rigidity of dimension estimate for holomorphic functions with polynomial growth on Kähler manifolds with non-negative holomorphic bisectional c…