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Critical nonlocal systems with concave-convex powers

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 نشر من قبل Marco Squassina
 تاريخ النشر 2016
  مجال البحث
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By using the fibering method jointly with Nehari manifold techniques, we obtain the existence of multiple solutions to a fractional $p$-Laplacian system involving critical concave-convex nonlinearities provided that a suitable smallness condition on the parameters involved is assumed. The result is obtained despite there is no general classification for the optimizers of the critical fractional Sobolev embedding.

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