Strong Comparison Principles for Some Nonlinear Degenerate Elliptic Equations

Abstract

In this paper, we obtain the strong comparison principle and Hopf Lemma for locally Lipschitz viscosity solutions to a class of nonlinear degenerate elliptic operators of the form ${\nabla }^2\psi +L(x,\nabla \psi )$, including the conformal hessian operator.