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.

引用

页码：710 / 718

页数：9

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