Ground state for scalar field equations with anisotropic nonlocal nonlinearities

Marco Squassina, Antonio Iannizzotto, Kanishka Perera

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

Abstract

We consider a class of scalar field equations with anisotropic nonlocal nonlinearities. We obtain a suitable extension of the well-known compactness lemma of Benci and Cerami to this variable exponent setting, and use it to prove that the Palais-Smale condition holds at all level below a certain threshold. We deduce the existence of a ground state when the variable exponent slowly approaches the limit at infinity from below
Lingua originaleEnglish
pagine (da-a)5963-5976
Numero di pagine14
RivistaDiscrete and Continuous Dynamical Systems
Volume35
Stato di pubblicazionePubblicato - 2015

Keywords

  • Ground states
  • anisotropic nonlinearity

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