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负幂次对数加权的Trudinger-Moser不等式

朱茂春 马盼

应用数学2024,Vol.37Issue(1):73-79,7.
应用数学2024,Vol.37Issue(1):73-79,7.

负幂次对数加权的Trudinger-Moser不等式

Trudinger-Moser Inequalities with Logarithmic Weights of Negative Power

朱茂春 1马盼1

作者信息

  • 1. 江苏大学数学科学学院,江苏镇江 212013
  • 折叠

摘要

Abstract

In this work,we consider the Trudinger-Moser inequality with logarithmic weights of negative power.By establishing a Radial lemma and the Lecband's functional inequality,we shows that the Trudinger-Moser inequalities with logarithmic weights of positive power obtained by Calanchi and Ruf(2015)still hold when the power is negative.

关键词

径向/负幂次/对数加权/Trudinger-Moser不等式

Key words

Radial/Negative Power/Logarithmic weight/Trudinger-Moser inequality

分类

数理科学

引用本文复制引用

朱茂春,马盼..负幂次对数加权的Trudinger-Moser不等式[J].应用数学,2024,37(1):73-79,7.

基金项目

Supported by the Natural Science Foundation of China(12071185,12061010) (12071185,12061010)

应用数学

OA北大核心CSTPCD

1001-9847

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