In this paper, we establish a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the complex Hessian equation and the Monge-Ampère equation for (n−1)-plurisubharmonic equations in the almost Hermitian setting.
In this paper we consider the Monge-Ampère type equations on compact almost Hermitian manifolds. We derive a priori estimates under the existence of an admissible C-subsolution. Finally, we also obtain an existence theorem if there exists an admissible supersolution.
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