A singular Adams' inequality with logarithmic weights and applications

被引：1

作者：

Zhang, Shiqi ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing, Peoples R China

来源：

APPLICABLE ANALYSIS | 2024年 / 103卷 / 11期

关键词：

Singular Adams' inequality; logarithmic weights; weighted mean field equations; 2-DIMENSIONAL EULER EQUATIONS; MOSER TYPE INEQUALITY; UNBOUNDED-DOMAINS; STATIONARY FLOWS; LIOUVILLE TYPE; TRUDINGER; NONLINEARITIES;

D O I：

10.1080/00036811.2023.2279955

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a singular Adams' inequality with logarithmic weights in the unit ball of R-4. Our results extend the results of Zhu and Wang [Adams' inequality with logarithmic weights in R-4. Proc Amer Math Soc. 2021;149(8):3463-3472] on Adams' inequality with logarithmic weights to singular case. Then, we study the existence of solutions for some weighted mean field equations, relying on variational methods and the singular Adams' inequality with logarithmic weights we previously established.

引用

页码：2038 / 2046

页数：9

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