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

Wang, WenZhou, HuiZhang, Xinquan2022-08-082022-08-082017-10-16Wang, W., Zhou, H., & Zhang, X. (2017). Liouville theorem and gradient estimates for nonlinear elliptic equations on Riemannian manifolds. Electronic Journal of Differential Equations, 2017(258), pp. 1-11.1072-6691https://hdl.handle.net/10877/16052In 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalGradient estimateNonlinear elliptic equationLiouville theoremHarnack inequalityLiouville theorem and gradient estimates for nonlinear elliptic equations on Riemannian manifoldsArticle