Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems

Abstract

The aim of this paper is to study the existence and multiplicity of solutions for a class of fractional Kirchho problems involving Choquard type nonlinearity and singular nonlinearity. Under suitable assumptions, two nonnegative and nontrivial solutions are obtained by using the Nehari manifold approach combined with the Hardy-Littlehood-Sobolev inequality.

Keywords

• fractional kirchhoff problem
• choquard nonlinearity
• singular nonlinearity
• nehari manifold method
• multiple solutions
• 35a15
• 35b38
• 35d30