Asymptotic estimate for a perturbed scalar curvature equation Original Research Article

We consider the equation View the MathML sourceΔuϵ=Vϵuϵ(n+2)/(n−2)+ϵWϵuϵα with View the MathML sourceα∈]nn−2,n+2n−2[ and we give some minimal conditions on ∇V∇V and ∇W∇W for having a uniform estimate for their solutions when ϵ→0ϵ→0.