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

Yang, Yunyan

doi:10.1090/S0002-9947-07-04272-9

A sharp form of the Moser-Trudinger inequality on a compact Riemannian surface
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Trans. Amer. Math. Soc. 359 (2007), 5761-5776 Request permission

Abstract:

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.

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