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EnglishWe 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 |
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