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Infinitely many solutions for a boundary value problem with discontinuous nonlinearities. (English) Zbl 1177.34038
Summary: The existence of infinitely many solutions for a Sturm-Liouville boundary value problem is obtained under an appropriate oscillating behavior of the possibly discontinuous nonlinear term. 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.

MSC:
34B24Sturm-Liouville theory
34A36Discontinuous equations
58A05Foundations of differentiable manifolds
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