In this paper we study a system which is equivalent to a nonlocal version of the well known Brezis Nirenberg problem. The difficulties related with the lack of compactness are here emphasized by the nonlocal nature of the critical nonlinear term. We prove existence and nonexistence results of positive solutions when N=3 and existence of solutions in both the resonance and the nonresonance case for higher dimensions.
Generalized Schrödinger–Newton system in dimension N ⩾ 3: Critical case
AZZOLLINI, ANTONIO;
2017-01-01
Abstract
In this paper we study a system which is equivalent to a nonlocal version of the well known Brezis Nirenberg problem. The difficulties related with the lack of compactness are here emphasized by the nonlocal nature of the critical nonlinear term. We prove existence and nonexistence results of positive solutions when N=3 and existence of solutions in both the resonance and the nonresonance case for higher dimensions.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
adv.pdf
accesso aperto
Descrizione: Articolo su rivista
Tipologia:
Documento in Post-print
Licenza:
DRM non definito
Dimensione
337.86 kB
Formato
Adobe PDF
|
337.86 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
