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

Iannizzotto, A., Perera, K., Squassina, M., Ground state for scalar field equations with anisotropic nonlocal nonlinearities, <<DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS>>, 2015; 35 (N/A): 5963-5976 [http://hdl.handle.net/10807/87544]

Ground state for scalar field equations with anisotropic nonlocal nonlinearities

Squassina, Marco
Ultimo
2015

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
Inglese
Iannizzotto, A., Perera, K., Squassina, M., Ground state for scalar field equations with anisotropic nonlocal nonlinearities, <<DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS>>, 2015; 35 (N/A): 5963-5976 [http://hdl.handle.net/10807/87544]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/87544
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact