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arXiv · 1908.03982

Extremal functions for a singular Hardy-Moser-Trudinger inequality

Songbo Hou
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Abstract

In this paper, using blow-up analysis, we prove a singular Hardy-Morser-Trudinger inequality, and find its extremal functions. Our results extend those of Wang-Ye (Adv. Math. 2012), Yang-Zhu ( Ann. Glob. Anal. Geom. 2016), Csat\'{o}- Roy (Calc. Var. 2015), and Yang-Zhu (J. Funct. Anal. 2017).

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Songbo Hou. 2019-08-12. Extremal functions for a singular Hardy-Moser-Trudinger inequality. https://arxiv.org/abs/1908.03982

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