SINGULAR WEIGHTED SHARP TRUDINGER-MOSER INEQUALITIES DEFINED ON RN AND APPLICATIONS TO ELLIPTIC NONLINEAR EQUATIONS (vol 42, pg 781, 2022)

被引：0

作者：

Aouaoui, Sami ^{[1
]}

Jlel, Rahma ^{[1
,2
]}

机构：

[1] Univ Kairouan, High Inst Appl Math & Informat Kairouan, Ave Assad Iben Fourat, Kairouan 3100, Tunisia

[2] Univ Monastir, Fac Sci Monastir, Ave Environnement 5019 Monastir, Monastir, Tunisia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2023年 / 43卷 / 08期

关键词：

Trudinger-Moser inequality; singularity; radial functions; sharpness; logarithmic weights; concentration-compactness; elliptic equation; criticality; doubly exponential;

D O I：

10.3934/dcds.2023053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We correct the proof of Theorem 1.11 and Theorem 1.12 and we add a new result of sharpness of the Trudinger-Moser inequality for the doubly exponential case.

引用

页码：3170 / 3173

页数：4

共 10 条

[1] SINGULAR WEIGHTED SHARP TRUDINGER-MOSER INEQUALITIES DEFINED ON RN AND APPLICATIONS TO ELLIPTIC NONLINEAR EQUATIONS
Aouaoui, Sami
Jlel, Rahma
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 42 (02) : 781 - 813
[2] New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space RN and applications
Aouaoui, Sami
Jlel, Rahma
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021, 60 (01)
[3] New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space RN and applications (vol 60, 50, 2021)
Aouaoui, Sami
Jlel, Rahma
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2023, 62 (05)
[4] A Log-Weighted Sharp Trudinger-Moser Inequalities Involving Singular and Vanishing Radial Potentials and Applications
Jlel, Rahma
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2025, 48 (02)
[5] Sharp Weighted Trudinger-Moser Inequalities with the Ln Norm in the Entire Space Rn and Existence of Their Extremal Functions
Wang, Xumin
Chen, Lu
POTENTIAL ANALYSIS, 2021, 54 (01) : 153 - 181
[6] Concentration-Compactness Principle of Singular Trudinger-Moser Inequalities in Rn and n-Laplace Equations
Zhang, Caifeng
Chen, Lu
ADVANCED NONLINEAR STUDIES, 2018, 18 (03) : 567 - 585
[7] A weighted Trudinger-Moser inequalities and applications to some weighted (N, q)-Laplacian equation in RN with new exponential growth conditions
Aouaoui, Sami
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2023,
[8] New weighted sharp Trudinger–Moser inequalities defined on the whole euclidean space RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\mathbb {R}}^N $$\end{document} and applications
Sami Aouaoui
Rahma Jlel
Calculus of Variations and Partial Differential Equations, 2021, 60 (1)
[9] Correction to: “New weighted sharp Trudinger–Moser inequalities defined on the whole euclidean space RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^N $$\end{document} and applications”
Sami Aouaoui
Rahma Jlel
Calculus of Variations and Partial Differential Equations, 2023, 62 (5)
[10] Sharp Weighted Trudinger-Moser Inequalities with the Ln Norm in the Entire Space Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb {R}^{n}$\end{document} and Existence of Their Extremal Functions
Xumin Wang
Lu Chen
Potential Analysis, 2021, 54 (1) : 153 - 181

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