G. Bonanno, Giovanni Molica Bisci
2009.2.23Boundary Value Problems
tlooto Summary
Infinitely many solutions for a Sturm-Liouville boundary value problem with discontinuous nonlinearities are obtained under certain oscillating conditions.
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.
Citation format
BONANNO, G.; BISCI, Giovanni Molica. Infinitely many solutions for a boundary value problem with discontinuous nonlinearities. Boundary Value Problems, 2009, 2009: 1–20.