The complex Hessian equations with gradient terms on Hermitian manifolds
2020
Abstract In this paper, we consider the complex Hessian equation involving additional gradient terms on both left and right hand sides. We derive the second order estimates for χ ˜ -plurisubharmonic solutions to this equation on compact Hermitian manifolds. Such an estimate may be helpful to study the existence and regularity for the solution of the equation.
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