Sakineh Hajiaghasi - Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
Shahroud Azami - Department of pure Mathematics, Faculty of Sciences Imam Khomeini International University, Qazvin, Iran.

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.

Gradient almost Ricci solitons, Gradient estimates, Almost Ricci solitons