Complex Monge-Ampere type fully nonlinear equations on Hermitian manifolds

Complex Monge-Ampere type fully nonlinear equations on Hermitian manifolds

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Bo Guan, Ohio State University
Fine Hall 314

In this talk I report some recent results on a class of fully nonlinear elliptic equations on Hermitian manifolds. We shall focus on showing how subsolutions play an important role in deriving apriori estimates. The gradient estimates are new even in the Kahler case.