# American Institute of Mathematical Sciences

September  2012, 17(6): 1991-1999. doi: 10.3934/dcdsb.2012.17.1991

## A Monge-Ampère type fully nonlinear equation on Hermitian manifolds

 1 Department of Mathematics, The Ohio State University, Columbus, OH 43210 2 Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, United States

Received  March 2012 Revised  March 2012 Published  May 2012

We study a fully nonlinear equation of complex Monge-Ampère type on Hermitian manifolds. We establish the a priori estimates for solutions of the equation up to the second order derivatives with the help of a subsolution.
Citation: Bo Guan, Qun Li. A Monge-Ampère type fully nonlinear equation on Hermitian manifolds. Discrete & Continuous Dynamical Systems - B, 2012, 17 (6) : 1991-1999. doi: 10.3934/dcdsb.2012.17.1991
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