Existence and Multiplicity Solutions for the p-Fractional Schrödinger–Kirchhoff Equations with Electromagnetic Fields and Critical Nonlinearity

This paper is devoted to the study of the p -fractional Schrödinger–Kirchhoff equations with electromagnetic fields and critical nonlinearity. By using the variational methods, we obtain the existence of mountain pass solutions u ε which tend to the trivial solutions as ε → 0 . Moreover, we get m ∗ pairs of solutions for the problem in absence of magnetic effects under some extra assumptions.