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arXiv · 1210.5526

The Dirichlet Problem for a Complex Monge-Ampere Type Equation on Hermitian Manifolds

Bo Guan·Qun Li
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Abstract

We are concerned with fully nonlinear elliptic equations on complex manifolds and search for technical tools to overcome difficulties in deriving a priori estimates which arise due to the nontrivial torsion and curvature, as well as the general (non-pseudoconvex) shape of the boundary. We present our methods, which work for more general equations, by considering a specific equation which resembles the complex Monge-Ampere equation in many ways but with crucial differences. Our work is motivated by recent increasing interests in fully nonlinear equations on complex manifolds from geometric problems.

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Bo Guan, Qun Li. 2013-06-28. The Dirichlet Problem for a Complex Monge-Ampere Type Equation on Hermitian Manifolds. https://arxiv.org/abs/1210.5526

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