Existence of multiple solutions for a kirchho¤ type equation Involving polyharmonic operator with exponential growth

Abstract

In this article, we establish the existence of three weak solutions for a nonlinear Kirchho¤ type elliptic equation involving polyharmonic operator by using variational methods. We assume that the nonlinearity satis es subcritical exponential growth condition. We use a critical point theorem by B. Ricceri to prove our result.