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Fully non-linear elliptic equations on compact almost Hermitian manifolds

Jianchun Chu,Liding Huang,Jiaogen Zhang

Calculus of Variations and Partial Differential Equations（2021）

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Abstract
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--Amp\`ere equation for $(n-1)$-plurisubharmonic equations in the almost Hermitian setting.
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