We prove the existence of orbitally stable ground states to NLS with a partial confinement together with qualitative and symmetry properties. This result is obtained for nonlinearities which are L2-supercritical; in particular, we cover the physically relevant cubic case. The equation that we consider is the limit case of the cigar-shaped model in BEC.
Existence and Stability of Standing Waves for Supercritical NLS with a Partial Confinement
BELLAZZINI, JACOPO;VISCIGLIA, NICOLA
2017-01-01
Abstract
We prove the existence of orbitally stable ground states to NLS with a partial confinement together with qualitative and symmetry properties. This result is obtained for nonlinearities which are L2-supercritical; in particular, we cover the physically relevant cubic case. The equation that we consider is the limit case of the cigar-shaped model in BEC.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
CMPBellBoussJeanVisc.pdf
solo utenti autorizzati
Tipologia:
Versione finale editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
581.41 kB
Formato
Adobe PDF
|
581.41 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
1607.00739.pdf
accesso aperto
Tipologia:
Documento in Post-print
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
262.47 kB
Formato
Adobe PDF
|
262.47 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
