Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities. (23rd February 2009)

• Record Type: Journal Article
• Authors: Bonanno, Gabriele; Bisci, Giovanni Molica
• Other Names: Kiguradze Ivan T. Academic Editor.
• Is Part Of: Boundary value problems. Volume 2009(2009)
• Publication Date: 2009-02-23
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2009/670675
• Languages: English
• ISSNs: 1687-2762

Abstract

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.