An existence result of multiple solutions for a class of two-point boundary value equations depending upon a positive parameter is established. Our main tool is a recent three critical points theorem due to Bonanno and Marano [G. Bonanno, S.A. Marano, On the structure of the critical set of non-differentiable functions with a weak compactness condition, Appl. Anal. 89 (2010), 1-10]
