Abstract
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.
Similar content being viewed by others
Publisher note
To access the full article, please see PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Bonanno, G., Bisci, G.M. Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities. Bound Value Probl 2009, 670675 (2009). https://doi.org/10.1155/2009/670675
Received:
Accepted:
Published:
DOI: https://doi.org/10.1155/2009/670675