- Research Article
- Open Access
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.
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
- Nonlinear Term
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