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On a Class of Fully Nonlinear Elliptic Equations Containing Gradient Terms on Compact Hermitian Manifolds

Published online by Cambridge University Press:  20 November 2018

Rirong Yuan
Rirong Yuan*
Affiliation:
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China email: rirongyuan@stu.xmu.edu.cn
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Abstract

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In this paper we study a class of second order fully nonlinear elliptic equations containing gradient terms on compact Hermitian manifolds and obtain a priori estimates under proper assumptions close to optimal. The analysis developed here should be useful to deal with other Hessian equations containing gradient terms in other contexts.

Keywords

35J1553C5553C2535J25Sasakian manifoldHermitian manifoldsubsolutionextra concavity conditionfully nonlinear elliptic equation containing gradient term on complex manifold
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 70 , Issue 4 , 01 August 2018 , pp. 943 - 960
Copyright
Copyright © Canadian Mathematical Society 2018

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