Multiplicity of weak positive solutions for fractional \(p\& q\) Laplacian problem with singular nonlinearity. (English) Zbl 1442.35142
Summary: In this paper, we prove the existence and multiplicity of positive solutions for a class of fractional \(p\& q\) Laplacian problem with singular nonlinearity. Our approach relies on the variational method, some analysis techniques, and the method of Nehari manifold.
MSC:
| 35J62 | Quasilinear elliptic equations |
| 35R11 | Fractional partial differential equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A15 | Variational methods applied to PDEs |
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