On degenerate fractional Schrödinger–Kirchhoff–Poisson equations with upper critical nonlinearity and electromagnetic fields

Abstract

This paper intends to study the following degenerate fractional Schrödinger–Kirchhoff–Poisson equations with critical nonlinearity and electromagnetic fields in : where is a positive parameter, , 0<t<1, V is an electric potential satisfying suitable assumptions, and , with , and . With the help of the concentration compactness principle and variational method, and together with some careful analytical skills, we prove the existence and multiplicity of solutions for the above problem as in degenerate cases, that is the Kirchhoff term M can vanish at zero.