On a Schrödinger–Kirchhoff-type equation involving the p(x)p(x)-Laplacian

In this paper we deal with a Schrödinger-type equation involving a nonlocal Kirchhoff-type coefficient and depending on two real parameters. Working within the framework of variable exponent spaces and using the variational approach, we obtain several results of existence and multiplicity of solutions, depending on the range of the parameters.