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In this paper, we investigate the multiplicity of solutions for Kirchhoff fractional  p -Laplacian system in bounded domains:By using the Nehari manifold method, together with Ekeland's variational principle, we show that there exist two distinct solutions under suitable conditions on weight functionsand  h . Our results extend and generalize the main results in Xiang et al. [Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional p-Laplacian. Nonlinearity. 2016;29:3186–3205] in  Nonlinearity  2016, in whichare constants.

Multiple solutions for a coupled Kirchhoff system with fractional p -Laplacian and sign-changing weight functions