A very singular solution for the slow diffusion equation with nonlinear convection ✩

We here investigate an existence and uniqueness of the nontrivial, nonnegative solution of a nonlinear ordinary differential equation: f m +βrf + αf +σ f q = 0 satisfying a specific decay rate: limr→∞rα/βf (r) = 0 with α = 1/(2q − m−1) and β = (q −m)/(2q − m− 1). Here m>1, m < q