Nonlocal systems with critical concave-convex powers

Marco Squassina, Wenjing Chen

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

25 Citazioni (Scopus)

Abstract

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 although there is no general classification for the optimizers of the critical fractional Sobolev embedding.
Lingua originaleEnglish
pagine (da-a)821-842
Numero di pagine22
RivistaAdvanced Nonlinear Studies
Volume16
Stato di pubblicazionePubblicato - 2016

Keywords

  • Concave-convex powers
  • Nonlocal systems

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