Second order estimates for complex Hessian equations on Hermitian manifolds

Abstract

<p style='text-indent:20px;'>We derive second order estimates for <inline-formula><tex-math id="M1">\begin{document}$ \chi $\end{document}</tex-math></inline-formula>-plurisubharmonic solutions of complex Hessian equations with right hand side depending on the gradient on compact Hermitian manifolds.