most citedThe Christoffel problem by fundamental solution of the Laplace equation

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math.CV2018

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…

math.CV2018

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…