Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces

Abstract

Abstract We investigate the existence of solutions of the Kirchhoff elliptic equations with nonlinearity in R N $R^{N}$ . Using the ideas developed in Orlicz spaces and the technique of variation principle, we prove that there are at least three solutions in Orlicz-Sobolev spaces.

Keywords

• Kirchhoff elliptic equation
• Orlicz-Sobolev spaces
• Orlicz function
• multiple solutions