A second order estimate for general complex Hessian equations. (English) Zbl 1353.32024
Summary: We consider the general complex Hessian equations with right-hand sides depending on gradients, which are motivated by the Fu-Yau equations arising from the study of Strominger systems. The second order estimate for the solution is crucial to solving the equation by the method of continuity. We obtain such an estimate for the \(\chi\)-plurisubharmonic solutions.
MSC:
32Q15 | Kähler manifolds |
32W50 | Other partial differential equations of complex analysis in several variables |