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Science China Mathematics

, Volume 62, Issue 12, pp 2557–2570 | Cite as

Extremal functions for a singular Hardy-Moser-Trudinger inequality

  • Songbo HouEmail author
Articles
  • 23 Downloads

Abstract

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).

Keywords

singular Trudinger-Moser inequality extremal function blow-up analysis 

MSC(2010)

46E35 

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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Applied Mathematics, College of ScienceChina Agricultural UniversityBeijingChina

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