Gradient estimate of equations with potential 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
10.22075/ijnaa.2023.28958.4031چکیده
Using volume comparison theorems and the Sobolev inequality with almost Ricci solitons, we study an important version of the gradient estimate for the solutions of $\Delta u=f+Hu$, for some function $f$, $H$, and we obtain an upper bound for the gradient of $u$ on almost Ricci solitons.
