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. |