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A sharp form of the Moser-Trudinger inequality on a compact Riemannian surface
Author(s):
Yunyan
Yang
Journal:
Trans. Amer. Math. Soc.
359
(2007),
5761-5776.
MSC (2000):
Primary 58J05;
Secondary 46E35
Posted:
July 3, 2007
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Additional information
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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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
DOI:
10.1090/S0002-9947-07-04272-9
PII:
S 0002-9947(07)04272-9
Keywords:
Moser-Trudinger inequality,
blow-up analysis,
extremal function
Received by editor(s):
June 7, 2005
Posted:
July 3, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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