Nonlocal systems with critical concave-convex powers

By using the fibering method jointly with Nehari manifold techniques, we obtain the existence\r\nof multiple solutions to a fractional p-Laplacian system involving critical concave-convex nonlinearities,\r\nprovided that a suitable smallness condition on the parameters involved is assumed. The result is obtained\r\nalthough there is no general classification for the optimizers of the critical fractional Sobolev embedding.