A nonlinear inequality of Moser-Trudinger type

Authors
Citation
G. Tian et Xh. Zhu, A nonlinear inequality of Moser-Trudinger type, CALC VAR P, 10(4), 2000, pp. 349-354
Citations number
5
Categorie Soggetti
Mathematics
Journal title
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
09442669 → ACNP
Volume
10
Issue
4
Year of publication
2000
Pages
349 - 354
Database
ISI
SICI code
0944-2669(200006)10:4<349:ANIOMT>2.0.ZU;2-O
Abstract
In this note, we will prove an inequality for almost plurisubharmonic funct ions on any Kahler-Einstein manifolds with positive scalar curvature. This inequality generalizes the stronger version of the so called Moser-Trudinge r-Onofri inequality on S-2, which was proved in [Au], and also refines a we aker inequality found by the first author in [T2].