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arXiv · 1301.5863

On a class of fully nonlinear elliptic equations on Hermitian manifolds

Bo Guan·Wei Sun
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Abstract

We derive a priori $C^2$ estimates for a class of complex Monge-Ampere type equations on Hermitian manifolds. As an application we solve the Dirichlet problem for these equations under the assumption of existence of a subsolution; the existence result, as well as the second order boundary estimates, is new even for bounded domains in $\bfC^n$.

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Bo Guan, Wei Sun. 2013-01-24. On a class of fully nonlinear elliptic equations on Hermitian manifolds. https://arxiv.org/abs/1301.5863

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