The interior gradient estimate of Hessian quotient equations

Interior and boundary gradient estimates for Neumann problem of fully nonlinear Hessian equations

“…Now we state the boundary gradient estimates for admissible solutions of equation (1.1) with Neumann boundary value (1.8). Theorem 1.1 extends some previous work by Chou and Wang [3] and Chen [2], in which the interior gradient estimates for admissible solutions are carried out for equation (1.1)…”

The Neumann Problem for Parabolic Hessian Quotient Equations

“…The following inequalities of Hessian operators are very useful for us to establish a priori estimates. One can find the proofs in [7,8].…”

A class of fully nonlinear equations

“…Interior gradient estimates. In this subsection we follow the idea in [3,1] to derive interior gradient estimates for admissible solutions of the following equation…”