Gradient estimates for a nonlinear equation under the almost Ricci soliton condition
نویسندگان
1 Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
2 Department of pure Mathematics, Faculty of Sciences Imam Khomeini International University, Qazvin, Iran.
doi
10.22034/cmde.2024.56129.2344چکیده
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.
