Subsolution theorem and the Dirichlet problem for the quaternionic Monge-Ampere equation

Abstract

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 domains in quaternionic space. The stability and subsolution theorems are established for quaternionic Monge-Ampère equations.

21 pages