2 citations · 3 across the 5 of their papers we have counts for
5 papers
Singular Solutions to the Complex Monge-Ampère Equation
Jiaxiang Wang, Wenlong Wang
We present an explicit pluripotential and viscosity solution to the complex Monge-Ampère equation with constant right-hand side on , whic…
Sobolev inequalities and regularity of the linearized complex Monge-Ampere and Hessian equations
Jiaxiang Wang, Bin Zhou
Let be a smooth, strictly -plurisubharmonic function on a bounded domain with . The purpose of this paper is to study the regularity of solu…
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…
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…
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…