Multiple solutions of p-fractional Schrödinger-Choquard-Kirchhoff equations with Hardy-Littlewood-Sobolev critical exponents

Abstract

Abstract In this article, we are concerned with multiple solutions of Schrödinger-Choquard-Kirchhoff equations involving the fractional p p -Laplacian and Hardy-Littlewood-Sobolev critical exponents in R N {{\mathbb{R}}}^{N} . We classify the multiplicity of the solutions in accordance with the Kirchhoff term M ( ⋅ ) M\left(\cdot ) and different ranges of q q shown in the nonlinearity f ( x , ⋅ ) f\left(x,\cdot ) by means of the variational methods and Krasnoselskii’s genus theory. As an immediate consequence, some recent related results have been improved and extended.