%0 Journal Article %T Existence and Uniqueness of Very Singular Solution of a Degenerate Parabolic Equation with Nonlinear Convection %A Fang ZhongBo %A Piao Daxiong %A Wang Jian %J Boundary Value Problems %D 2009 %I Springer %X We here investigate the existence and uniqueness of the nontrivial, nonnegative solutions of a nonlinear ordinary differential equation: satisfying a specific decay rate: with and . Here and . Such a solution arises naturally when we study a very singular self-similar solution for a degenerate parabolic equation with nonlinear convection term defined on the half line . %U http://www.boundaryvalueproblems.com/content/2009/415709