Gradient estimates for a nonlinear equation under the almost Ricci soliton condition

被引：0
|
作者：
Hajiaghasi, Sakineh [1 ]
Azami, Shahroud [1 ]
机构：
[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2024年 / 12卷 / 04期
关键词：
Gradient almost Ricci solitons; Gradient estimates; Almost Ricci solitons;
D O I：
10.22034/cmde.2024.56129.2344
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the gradient estimate for the positive solutions of the equation Delta u + au (log u)(p) + bu = f on an almost Ricci soliton (M-n, g, X, lambda). In a special case, when X = del h h for a smooth function h, we derive a gradient estimate for an almost gradient Ricci soliton.
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页码：710 / 718
页数：9
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