A sharp form of the Moser-Trudinger inequality on a compact Riemannian surface

Yunyan Yang
2007 Transactions of the American Mathematical Society  
In this paper, a sharp form of the Moser-Trudinger inequality is established on a compact Riemannian surface via the method of blow-up analysis, and the existence of an extremal function for such an inequality is proved.
doi:10.1090/s0002-9947-07-04272-9 fatcat:uq3feo3tubeuhemnu7nkzwmw2i