The Nehari manifold for fractional systems involving critical nonlinearities

Marco Squassina, Xiaoming He, Wenming Zou

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

31 Citazioni (Scopus)

Abstract

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
Volume15
Stato di pubblicazionePubblicato - 2016

Keywords

  • Fractional systems
  • Nehari manifold technique

Fingerprint

Entra nei temi di ricerca di 'The Nehari manifold for fractional systems involving critical nonlinearities'. Insieme formano una fingerprint unica.

Cita questo