Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities. (English) Zbl 1518.35628
Summary: In this article, we study certain critical Schrödinger-Kirchhoff-type systems involving the fractional \(p\)-Laplace operator on a bounded domain. More precisely, using the properties of the associated functional energy on the Nehari manifold sets and exploiting the analysis of the fibering map, we establish the multiplicity of solutions for such systems.
MSC:
| 35R11 | Fractional partial differential equations |
| 35J35 | Variational methods for higher-order elliptic equations |
| 35J62 | Quasilinear elliptic equations |
| 35P30 | Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs |
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