Sharp form for improved Moser-Trudinger inequality

2006/11/09 by Yilong Ni, Meijun Zhu, Ni, Yilong +1
Mathematics · #58E35 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:58E35

paper · pdf · doi:10.48550/arxiv.math/0611255

9 pages

arxiv created 2006/11/09 · arxiv updated 2009/12/01

Abstract

We prove that the improved Moser-Trudinger inequality with optimal coefficient α=1/2 holds for all functions on S² with zero moments.

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