The Nehari manifold for fractional systems involving critical nonlinearities

Xiaoming He, Marco Squassina, Wenming Zou

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

31 Citazioni (Scopus)


We study the combined effect of concave and convex nonlinearities on the number of positive solutions for a fractional system involving critical Sobolev exponents. With the help of the Nehari manifold, we prove that the system admits at least two positive solutions when the pair of parameters (λ, µ) belongs to a suitable subset of R^2
Lingua originaleEnglish
pagine (da-a)1285-1308
Numero di pagine24
RivistaCommunications on Pure and Applied Analysis
Stato di pubblicazionePubblicato - 2016


  • Fractional systems
  • Nehari manifold technique


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