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
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)