Liouville Type Theorems for a Class of General Parabolic Hessian Quotient Type Equations

Abstract

We first consider the a priori estimates to a class of general parabolic $(k,l)-$ Hessian quotient type equations of the form

with $0{\le}1

or

has interior gradient estimates and Pogorelov type estimates. As an application, we prove Liouville type theorems for these equations.