Sharp form for improved Moser-Trudinger inequality

Details Sharp form for improved Moser-Trudinger inequality Sharp form for improved Moser-Trudinger inequality

2006-11-09

arxiv.org/abs/math/0611255v1

Mathematics

Analysis of PDEs

9 pages

Scientific paper

We prove that the improved Moser-Trudinger inequality with optimal
coefficient $\alpha =1/2$ holds for all functions on $S^2$ with zero moments.

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