Citation
Wy. Ding et al., Existence results for mean field equations, ANN IHP-AN, 16(5), 1999, pp. 653-666
Citations number
18
Categorie Soggetti
Mathematics
Journal title
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
ISSN journal
02941449
→ ACNP
Volume
16
Issue
5
Year of publication
1999
Pages
653 - 666
Database
ISI
SICI code
0294-1449(199909/10)16:5<653:ERFMFE>2.0.ZU;2-W
Abstract
Let Omega be an annulus. We prove that the mean field equation
[GRAPHICS]
admits a solution for beta is an element of (-16 pi, -8 pi). This is a supe
rcritical case for the Moser-Trudinger inequality. (C) Elsevier, Paris.