A Monge-Ampère type fully nonlinear equation on Hermitian manifolds

Bo Guan; Qun Li

doi:10.3934/dcdsb.2012.17.1991

Article Contents

2012, Volume 17, Issue 6: 1991-1999. Doi: 10.3934/dcdsb.2012.17.1991

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A Monge-Ampère type fully nonlinear equation on Hermitian manifolds

Bo Guan^1, and
Qun Li^2,

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

Received: March 2012

Revised: March 2012

Published: September 2012

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Abstract

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.

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Mathematics Subject Classification: 58J05, 58J32, 32W20, 35J25, 53C55.

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References

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