Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities
Boundary Value Problems volume 2009, Article number: 670675 (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.
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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