Liouville theorem and gradient estimates for nonlinear elliptic equations on Riemannian manifolds

Abstract

In this article we study a nonlinear elliptic equation by using the maximum principle and cutoff functions, We establish related gradient estimates, the Liouville theorem, and the Harnack inequality.

Keywords

• Gradient estimate
• nonlinear elliptic equation
• Liouville theorem
• Harnack inequality