We consider a singular Liouville equation on a compact surface, arising from the study of Chern{Simons vortices in a self-dual regime. Using new improved versions of the Moser{Trudinger inequalities (whose main feature is to be scaling invariant) and a variational scheme, we prove new existence results.
New improved Moser-Trudinger inequalities and singular Liouville equations on compact surfaces
MALCHIODI, ANDREA
;
2011
Abstract
We consider a singular Liouville equation on a compact surface, arising from the study of Chern{Simons vortices in a self-dual regime. Using new improved versions of the Moser{Trudinger inequalities (whose main feature is to be scaling invariant) and a variational scheme, we prove new existence results.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
MR GAFA.pdf
Accesso chiuso
Tipologia:
Published version
Licenza:
Non pubblico
Dimensione
1.77 MB
Formato
Adobe PDF
|
1.77 MB | Adobe PDF | Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
