Liouville theorem and gradient estimates for nonlinear elliptic equations on Riemannian manifolds
Texas State University, Department of Mathematics
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.
Gradient estimate, Nonlinear elliptic equation, Liouville theorem, Harnack inequality
Wang, W., Zhou, H., & Zhang, X. (2017). Liouville theorem and gradient estimates for nonlinear elliptic equations on Riemannian manifolds. <i>Electronic Journal of Differential Equations, 2017</i>(258), pp. 1-11.