A singular generalized Kirchhoff-double-phase problem with p-Laplacian operator

In this paper, we investigate multiplicity results for singular generalized Kirchhoff two-phase fractional differential equation problems with a p-Laplacian operator with parameters and a nonlinear term exhibiting subcritical growth. Under broad assumptions on the data, we establish the existence of at least two weak solutions with different energy signs. Our approach is based on the fibering method, which specifically uses the Nehari manifold. It is noteworthy that our analysis includes both non-degenerate and degenerate Kirchhoff cases. These results contribute to the advancement of knowledge in the field of Kirchhoff double-phase problems within \(\psi \) $\psi$ -Hilfer generalized fractional differential equations with singular nonlinearities.