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

• Autores: Yunyan Yang
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 12, 2007, págs. 5761-5776
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04272-9
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• Resumen

  • 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