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. Copyright (C) 2009 G. Bonanno and G. M. Bisci.
Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities
BONANNO, Gabriele;
2009-01-01
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. Copyright (C) 2009 G. Bonanno and G. M. Bisci.File in questo prodotto:
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