Multiplicity of solutions for p(x)p(x)-polyharmonic elliptic Kirchhoff equations

In this paper we establish the existence of an unbounded sequence of solutions for a class of quasilinear elliptic p(x)p(x)-polyharmonic Kirchhoff equations, including the new delicate degenerate case, not yet covered in the literature. The main tool is the symmetric mountain pass theorem of Ambrosetti and Rabinowitz.