Year: 2018
Author: Zhu Chaona
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 3 : pp. 237–251
Abstract
In this paper, we consider the following nonlinear elliptic equation △_f^u+hu^α=0 on the complete smooth metric space (Rn, g0, e −f dvg0), where g0 is the Euclidean metric on Rn and f = |x|2/4. We prove gradient estimates and Liouville-Type theorems for positive solutions of the above equation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v31.n3.4
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 3 : pp. 237–251
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Gradient estimate