Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems
Fuliang Wang, Die Hu, Mingqi Xiang
Abstract
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.
Topics & Concepts
Nehari manifoldMathematicsMultiplicity (mathematics)Nonlinear systemMathematical analysisSobolev spaceClass (philosophy)Pure mathematicsPhysicsQuantum mechanicsArtificial intelligenceComputer scienceNonlinear Partial Differential EquationsNumerical methods in engineeringNonlinear Differential Equations Analysis