Infinitely Solutions for a Fractional \(p(\cdot ,\cdot )\)-Kirchhoff Type Problem

The purpose of this paper is to study the existence and infinitely many solutions for a some type of nonlocal \(p(\cdot ,\cdot )\) $p(·,·)$ -Kirchhoff problems with Dirichlet boundary conditions. Our proofs are based on variational methods, the Mountain Pass Lemma, and genus theory.