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

Abstract In this paper we establish the existence of an unbounded sequence of solutions for a class of quasilinear elliptic 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.

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