Title of article :
Gradient estimates for a nonlinear equation under the almost Ricci soliton condition
Author/Authors :
Hajiaghasi ، Sakineh Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University , Azami ، Shahroud Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University
Abstract :
In this paper, we study the gradient estimate for the positive solutions of the equation ∆u + au(log u)p + bu = f on an almost Ricci soliton (Mn, g, X, λ). In a special case, when X = ∇h for a smooth function h, we derive a gradient estimate for an almost gradient Ricci soliton.
Keywords :
Gradient almost Ricci solitons , Gradient estimates , Almost Ricci solitons
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations