Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation

Abstract

This article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem are obtained.

Keywords

• p(x)-kirchhoff equation
• perturbation technique
• invariant sets
• variational method
• 35j20
• 35j60
• 35j70
• 47j10