@Article{JPDE-31-3,
author = {Zhu, Chaona},
title = {Gradient Estimates and Liouville-Type Theorems for a Nonlinear Elliptic Equation},
journal = {Journal of Partial Differential Equations},
year = {2018},
volume = {31},
number = {3},
pages = {237--251},
abstract = {<p>In this paper, we consider the following nonlinear elliptic equation △_f^u+hu^α=0 on the complete smooth metric space (R<sup>n</sup>, g<sub>0</sub>, e −f dv<sub>g</sub><sub>0</sub>), where g<sub>0</sub>&nbsp;is the Euclidean metric on R<sup>n</sup>&nbsp;and f = |x|<sup>2</sup>/4. We prove gradient estimates and Liouville-Type theorems for positive solutions of the above equation.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v31.n3.4},
url = {https://global-sci.com/article/88208/gradient-estimates-and-liouville-type-theorems-for-a-nonlinear-elliptic-equation}
}