Multiplicity results for a Kirchhoff type equations in Orlicz-Sobolev spaces

Abstract

In this paper, we study a class of non-homogeneous and nonlocal equations in Orlicz-Sobolev spaces. Using variational methods and Bonnano's critical points theorems, we give some appropriate conditions on the nonlinear term and the Kirchhoff function to find a range of the control parameter $\lambda$ for which the problem admits at least two nontrivial solutions.