In this paper we prove unique continuation principles for some systems of elliptic partial differential equations satisfying a suitable superlinearity condition. As an application, we obtain nonexistence of nontrivial (not necessarily positive) radial solutions for the Lane-Emden system posed in a ball, in the critical and supercritical regimes. Some of our results also apply to general fully nonlinear operators, such as Pucci's extremal operators, being new even for scalar equations.
On unique continuation principles for some elliptic systems
Soave N.
2021-01-01
Abstract
In this paper we prove unique continuation principles for some systems of elliptic partial differential equations satisfying a suitable superlinearity condition. As an application, we obtain nonexistence of nontrivial (not necessarily positive) radial solutions for the Lane-Emden system posed in a ball, in the critical and supercritical regimes. Some of our results also apply to general fully nonlinear operators, such as Pucci's extremal operators, being new even for scalar equations.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
MorNorSoa AIHP 2021.pdf
Accesso riservato
Tipo di file:
PDF EDITORIALE
Dimensione
373.23 kB
Formato
Adobe PDF
|
373.23 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
UCsystem revision1.pdf
Accesso aperto
Descrizione: Versione finale
Tipo di file:
POSTPRINT (VERSIONE FINALE DELL’AUTORE)
Dimensione
289.76 kB
Formato
Adobe PDF
|
289.76 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
