Abstract
In [J. Differential Equations39 (1981), 269-290], J. Smoller and A. Wasserman presented some rich ideas and results on the bifurcation of steady-state solutions of a reaction-diffusion equation in one space variable. However, the proof of their Theorem 2.1 is incorrect (the case a > 0), and to correct it, we find one additional hypothesis is necessary. © 1989.