The free convection boundary-layer flow of a Darcy-Boussinesq fluid from a vertical permeable plate with an inverse-linear temperature distribution is considered. The outstanding characteristics of this self-similar flow which, according to the usual reduction procedure of pseudo-similarity to full similarity, should not exist at all, are analyzed in detail. Thus it is shown that this flow only exists if a lateral suction with a sufficiently large suction parameter gamma greater than or equal to gamma(min) = 1.079131 is applied. For the threshold value gamma(min) the solution is unique but above it multiple solutions are encountered for every given value of gamma.