Infinitely many solutions for the p -fractional Kirchhoff equations with electromagnetic fields and critical nonlinearity

摘要

In this paper, we consider the fractional Kirchhoff equations with electromagneticfields and critical nonlinearity. By means of the concentration–compactness principle in fractionalSobolev space and the Kajikiya’s new version of the symmetric mountain pass lemma, we obtainthe existence of infinitely many solutions, which tend to zero for suitable positive parameters.