Schrödinger-Kirchhoff-Hardy p-fractional equations without the Ambrosetti-Rabinowitz condition

This paper is devoted to the study of the following Schrödinger-Kirchhoff-Hardy equation in (equation presented) is the fractional p-Laplacian, with s ∈ (0, 1) and p > 1, dimension n > ps, M models a Kirchhoff coefficient, V is a positive potential, f is a continuous nonlinearity and µ is a real parameter. The main feature of the paper is the combination of a Kirchhoff coefficient and a Hardy term with a suitable function f which does not necessarily satisfy the Ambrosetti-Rabinowitz condition. Under different assumptions for f and restrictions for µ, we provide existence and multiplicity results by variational methods.