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Gradient Estimates and Liouville-Type Theorems for a Nonlinear Elliptic Equation
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@Article{JPDE-31-237,
author = {Chaona , Zhu},
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 = {
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.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n3.4}, url = {http://global-sci.org/intro/article_detail/jpde/12707.html} }
TY - JOUR
T1 - Gradient Estimates and Liouville-Type Theorems for a Nonlinear Elliptic Equation
AU - Chaona , Zhu
JO - Journal of Partial Differential Equations
VL - 3
SP - 237
EP - 251
PY - 2018
DA - 2018/09
SN - 31
DO - http://doi.org/10.4208/jpde.v31.n3.4
UR - https://global-sci.org/intro/article_detail/jpde/12707.html
KW - Gradient estimate
KW - Liouville-Type theorem
KW - shrinking gradient Ricci soliton.
AB -
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.
Zhu Chaona. (2020). Gradient Estimates and Liouville-Type Theorems for a Nonlinear Elliptic Equation.
Journal of Partial Differential Equations. 31 (3).
237-251.
doi:10.4208/jpde.v31.n3.4
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