Multiple solutions for quasilinear equations depending on a parameter

Subject Analysis
Title Multiple solutions for quasilinear equations depending on a parameter
Author(s) Shapour Heidarkhani
Keywords Dirichlet problem; Critical point; Three solutions; Multiplicity results
Abstract

The purpose of this talk is to use a very recent three critical points theorem due to Bonanno and Marano [1] to establish the existence of at least three solutions for quasilinear second order differential equations on a compact interval $[a,b]\subset R$ under appropriate hypotheses. We exhibit the existence of at least three (weak) solutions and, and the results are illustrated by examples.