25 citations · 55 across the 6 of their papers we have counts for
6 papers
The Christoffel problem by fundamental solution of the Laplace equation
Qi-Rui Li, Dongrui Wan, Xu-Jia Wang
The Christoffel problem is equivalent to the existence of convex solutions to the Laplace equation on the unit sphere . Necessary and sufficient conditions have been found by…
Subsolution theorem and the Dirichlet problem for the quaternionic Monge-Ampere equation
Dongrui Wan
In this paper, the author studies quaternionic Monge-Ampère equations and obtain the existence of the solutions to the Dirichlet problem for such equations in strictly pesudoconvex…
Cegrell classes and a variational approach for the quaternionic Monge-Ampere equation
Dongrui Wan
In this paper, we introduce finite energy classes of quaternionic plurisubharmonic functions of Cegrell type and study the quaternionic Monge-Ampere operator on these classes on qu…
Viscosity solutions to quaternionic Monge-Ampère equations
Dongrui Wan, Wei Wang
Quaternionic Monge-Ampère equations have recently been studied intensively using methods from pluripotential theory. We present an alternative approach by using the viscosity metho…
Potential theory in several quaternionic variables
Dongrui Wan
In this paper, we establish the quaternionic versions of the potential description of various "small" sets related to the quaternionic plurisubharmonic functions in .…
On quaternionic Monge-Ampere operator, closed positive currents and Lelong-Jensen type formula on quaternionic space
Dongrui Wan, Wei Wang
In this paper, we introduce the first-order differential operators and acting on the quaternionic version of differential forms on the flat quaternionic space $\mathbb{…