Transactions of the American Mathematical Society

Author(s): Yuji Sano
Journal: Trans. Amer. Math. Soc. 356 (2004), 3477-3482.
MSC (2000): Primary 34A26; Secondary 53C55
Posted: November 25, 2003
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Abstract: We consider the best constant of the Moser-Trudinger inequality on $\textbf{S}^2$ under a certain orthogonality condition. Applying Moser's calculation, we construct a counterexample to the sharper inequality with the condition.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 34A26, 53C55

Yuji Sano
Affiliation: Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan
Email: ysano@math.titech.ac.jp

DOI: 10.1090/S0002-9947-03-03483-4
PII: S 0002-9947(03)03483-4
Keywords: The Moser-Trudinger inequality
Received by editor(s): March 12, 2003
Posted: November 25, 2003
Additional Notes: This research was partially supported by the Ministry of Education, Science, Sports and Culture of Japan, Grant-in-Aid for JSPS Fellows, 03340, 2003
Copyright of article: Copyright 2003, American Mathematical Society

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