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The best constant of the Moser-Trudinger inequality on
Authors:Yuji Sano
Affiliation:Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan
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.

Keywords:The Moser-Trudinger inequality
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