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
收藏
页码：2038 / 2046
页数：9
相关论文
共 50 条
  • [1] ADAMS' INEQUALITY WITH LOGARITHMIC WEIGHTS IN R4
    Zhu, Maochun
    Wang, Lianfang
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (08) : 3463 - 3472
  • [2] A new Singular Trudinger-Moser Type Inequality with Logarithmic Weights and Applications
    Aouaoui, Sami
    Jlel, Rahma
    ADVANCED NONLINEAR STUDIES, 2020, 20 (01) : 113 - 139
  • [3] Critical and Supercritical Adams’ Inequalities with Logarithmic Weights
    Huimin Zhao
    Maochun Zhu
    Mediterranean Journal of Mathematics, 2023, 20
  • [4] Critical and Supercritical Adams' Inequalities with Logarithmic Weights
    Zhao, Huimin
    Zhu, Maochun
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (06)
  • [5] Singular Adams inequality for biharmonic operator on Heisenberg Group and its applications
    Dwivedi, G.
    Tyagi, J.
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2016, 23 (06):
  • [6] Singular Adams inequality for biharmonic operator on Heisenberg Group and its applications
    G. Dwivedi
    J. Tyagi
    Nonlinear Differential Equations and Applications NoDEA, 2016, 23
  • [7] Erratum to: Singular Adams inequality for biharmonic operator on Heisenberg Group and its applications
    G. Dwivedi
    J. Tyagi
    Nonlinear Differential Equations and Applications NoDEA, 2017, 24
  • [8] A MATRIX INEQUALITY WITH WEIGHTS AND ITS APPLICATIONS
    LI, HX
    LENG, GS
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1993, 185 : 273 - 278
  • [9] Adams-type inequalities with logarithmic weights in fractional dimensions and the existence of extremals
    Jiang, Rou
    Xu, Wenyan
    Zhang, Caifeng
    Zhu, Maochun
    BULLETIN DES SCIENCES MATHEMATIQUES, 2025, 200
  • [10] Singular Adams inequality for biharmonic operator on Heisenberg Group and its applications (vol 23, 58, 2016)
    Dwivedi, G.
    Tyagi, J.
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2017, 24 (03):
12345