Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities
© G. Bonanno and G.M. Bisci 2009
Received: 16 October 2008
Accepted: 11 February 2009
Published: 23 February 2009
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.
To access the full article, please see PDF.
This article is published under license to BioMed Central Ltd. 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.