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

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wang.pdf (217.79 KB)
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.
URI
https://hdl.handle.net/10877/16052
Collections
Electronic Journal of Differential Equations