Academic Editor: Ivan T. Kiguradze
Copyright © 2009 Gabriele Bonanno and Giovanni Molica Bisci. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The existence of infinitely many solutions for a Sturm-Liouville boundary value problem, under an appropriate oscillating behavior
of the possibly discontinuous nonlinear term, is obtained. Several special cases and consequences are pointed out and some examples are presented. The technical approach is mainly based on a result of infinitely many critical points for locally Lipschitz functions.