Trudinger-Moser不等式的两种证明方法

doi:10.16039/j.cnki.cn22-1249.2022.11.019

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摘要

Trudinger-Moser不等式在研究带有临界指数增长非线性项的偏微分方程解的存在性问题上有着重要的应用.在径向空间中利用施瓦兹对称重排，基于单位分解的技巧取截断函数是证明Trudinger-Moser不等式的两种主要方法.

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	黄玫瑾

关键词: Trudinger-Moser不等式对称重排单位分解

Abstract:

The Trudinger-Moser inequality has important applications in the study of the existence of solutions for partial differential equations with critical exponential growth nonlinear terms. Using Schwartz symmetric rearrangement in radial space and taking cut-off function based on unit decomposition are two main methods to prove Trudinger-Moser inequality.

Key words: Trudinger-Moser inequality symmetric rearrangement unit decomposition

出版日期: 2022-11-25 发布日期: 2022-11-25 整期出版日期: 2022-11-25

ZTFLH:

O29

引用本文:

黄玫瑾. Trudinger-Moser不等式的两种证明方法 [J]. 吉林化工学院学报, 2022, 39(11): 93-96.
HUANG Meijing. Two Proofs of The Trudinger-Moser Inequality . Journal of Jilin Institute of Chemical Technology, 2022, 39(11): 93-96.

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http://xuebao.jlict.edu.cn/CN/10.16039/j.cnki.cn22-1249.2022.11.019 或 http://xuebao.jlict.edu.cn/CN/Y2022/V39/I11/93

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