DOUBLE PHASE PROBLEM WITH SINGULARITY AND HOMOGENOUS CHOQUARD TYPE TERM

In this study, we prove in the context of Musielak Sobolev space that, under various assumptions on the data, two positive non-trivial solutions exist to the double phase problem with a singularity and a homogeneous Choquard type on the right-hand side. Our method relies on the Nehari manifold, the Hardy Littlewood - Sobolev inequality, and some variational approaches. The findings presented here generalize some known results.