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]
Autori: | ||
Titolo: | Ground state for scalar field equations with anisotropic nonlocal nonlinearities | |
Data di pubblicazione: | 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 | |
Lingua: | Inglese | |
Rivista: | ||
Citazione: | 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] | |
Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |