Second order estimates for complex Hessian equations with gradient terms on both sides

In this paper, we derive the a priori second order estimate for admissible solutions in Gamma(k+1) cone of complex Hessian equations with both sides of the equation depending on the gradient on compact Hermitian manifolds. (C) 2020 Elsevier Inc. All rights reserved.

Automated summary

This paper derives the a priori second order estimate for admissible solutions in the Gamma(k+1) cone of complex Hessian equations with dependencies on the gradient on compact Hermitian manifolds.