New class of sixth-order nonhomogeneous p(x)-Kirchhoff problems with sign-changing weight functions

Abstract

In this paper, we prove the existence of multiple solutions for the following sixth-order p(x)-Kirchhoff-type problem

Keywords

• variable exponents
• kirchhoff type problems
• p(x)-triharmonic operator
• sign-changing functions
• concave-convex terms
• ekeland’s variational principle
• multiple solutions
• 35j55
• 35j65
• secondary: 35b65