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

Date

2017-10-16

Authors

Wang, Wen
Zhou, Hui
Zhang, Xinquan

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Gradient estimate, Nonlinear elliptic equation, Liouville theorem, Harnack inequality

Citation

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.

Rights

Attribution 4.0 International

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