On the Dirichlet problem for special Lagrangian curvature potential equation

Abstract

In this paper, we study a class of special Lagrangian curvature potential equations and obtain the existence of smooth solutions for Dirichlet problem. The existence result is based on a priori estimates of global $C^0$, $C^1$ and $C^2$ norms of solutions under the assumption of existence of a subsolution.

28pages