Extremal functions for a singular Hardy-Moser-Trudinger inequality

In this paper, using the blow-up analysis, we prove a singular Hardy-Morser-Trudinger inequality, and find its extremal functions. Our results extend those of Wang and Ye (2012), Yang and Zhu (2016), Csató and Roy (2015) and Yang and Zhu (2017).

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Veröffentlicht in:	Science China. Mathematics 2019-12, Vol.62 (12), p.2557-2570
1. Verfasser:	Hou, Songbo
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Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematics Mathematics and Statistics
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title	Extremal functions for a singular Hardy-Moser-Trudinger inequality
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