A sharp form of the Moser-Trudinger inequality on a compact Riemannian surface
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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.References
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Additional Information
- Yunyan Yang
- Affiliation: Department of Mathematics, Information School, Renmin University of China, Beijing 100872, People’s Republic of China
- Email: yunyan_yang2002@yahoo.com.cn
- Received by editor(s): June 7, 2005
- Published electronically: July 3, 2007
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 5761-5776
- MSC (2000): Primary 58J05; Secondary 46E35
- DOI: https://doi.org/10.1090/S0002-9947-07-04272-9
- MathSciNet review: 2336305