The Nehari manifold for nonlocal elliptic operators involving concave–convex nonlinearities

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Multiplicity results for the non-homogeneous fractional p-Kirchhoff equations with concave–convex nonlinearities (2015, background): “The literature on fractional operators and their applications is very huge, here we just mention a few, see for example [10–20], especially [21] and [22,23] for two different fractional Laplacian involving concave–convex nonlinearities.”
Critical Nonlocal Systems with Concave-Convex Powers (2016, background): “On the other hand, the fractional problems for p = 2 have been investigated by many researchers, see, for example, [2, 6, 23] for the critical case and [11] for the fractional Kirchhoff type problem.”
Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional p-Laplacian (2016, methodology): “Also, we refer the readers to [8, 15] for more applications by using the Nehari method.”