Second order estimates for a class of complex Hessian equations on Hermitian manifolds

Abstract

In this paper, we derive an \emph{a priori} second order estimate for solutions which are in ${\Gamma }_{k+1}$ cone to a class of complex Hessian equations with both sides of the equation depending on the gradient on compact Hermitian manifolds.

arXiv comment21pages

References in corpus (5)

• (1,1) forms with specified Lagrangian phase: A priori estimates and algebraic obstructions
• Moment maps, nonlinear PDE, and stability in mirror symmetry
• A class of curvature type equations
• The Dirichlet Problem of Fully Nonlinear Equations on Hermitian Manifolds
• Second order estimates for complex Hessian equations on Hermitian manifolds