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

Hajiaghasi, Sakineh; Azami, Shahroud

doi:10.22034/cmde.2024.56129.2344

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	Gradient estimates for a nonlinear equation under the almost Ricci soliton condition
Computational Methods for Differential Equations
مقاله 6، دوره 12، شماره 4، دی 2024، صفحه 710-718 اصل مقاله (336.27 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.56129.2344
نویسندگان
Sakineh Hajiaghasi¹؛ Shahroud Azami^* ²
¹Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
²Department of pure Mathematics, Faculty of Sciences Imam Khomeini International University, Qazvin, Iran.
چکیده
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 $X=\nabla h$ for a smooth function $h$, we derive a gradient estimate for an almost gradient Ricci soliton.
کلیدواژه‌ها
Gradient almost Ricci solitons؛ Gradient estimates؛ Almost Ricci solitons

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