Extremal functions for a singular Hardy-Moser-Trudinger inequality

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（12）
• 页码范围: 2557-2570
• 页数: 14页
• 语种: 英文

摘要

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).