| Volume 14, Number 4, 2024, Pages - DOI：10.11948/JAAC-2023-0303 |
| DOUBLE PHASE PROBLEM WITH SINGULARITY AND HOMOGENOUS CHOQUARD TYPE TERM |
| Omar Benslimane,Ahmed Aberqi,Mhamed Elmassoudi |
| Keywords:Double phase operator, Singular problem, Choquard term, Existence of solutions, Variational method, Musielak-Orlicz spaces |
| Abstract: |
| 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. |
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