3 papers
math.AP2022
Trace Inequalities, isocapacitary inequalities and regularity of the complex Hessian equations
Jiaxiang Wang, Bin Zhou
In this paper, we study the relations between trace inequalities(Sobolev and Moser-Trudinger type), isocapacitary inequalities and the regularity of the complex Hessian and Monge-A…
math.AP2020
A priori estimate for the complex Monge-Ampere equation
Wang Jiaxiang, Wang Xu-jia, Zhou Bin
In this paper, we prove a Moser-Trudinger type inequality for pluri-subharmonic functions vanishing on the boundary. Our proof uses a descent gradient flow for the complex Monge-Am…
math.AP2020
Moser-Trudinger inequality for the complex Monge-Ampere equation
Wang Jiaxiang, Wang Xu-jia, Zhou Bin
In this paper, we prove a Moser-Trudinger type inequality for pluri-subharmonic functions vanishing on the boundary. Our proof uses a descent gradient flow for the complex Monge-Am…