Extremals for Sobolev and Moser Inequalities in Hyperbolic Space

被引：0

作者：

Gianni Mancini

Kunnath Sandeep

机构：

[1] Universitá ROMA TRE,

[2] TIFR Centre for Applicable Mathematics,undefined

来源：

Milan Journal of Mathematics | 2011年 / 79卷

关键词：

35J20; 35J60; Moser-Trudinger inequality; hyperbolic space; conformal disc;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We review some recent results concernig existence/ non existence/ uniqueness of extremals for Sobolev inequalities in Hyperbolic spaces. We also discuss exponential integrability in the hyperbolic plane and related topics.

引用

页码：273 / 283

页数：10

共 50 条

[1] Extremals for Sobolev and Moser Inequalities in Hyperbolic Space
Mancini, Gianni
Sandeep, Kunnath
MILAN JOURNAL OF MATHEMATICS, 2011, 79 (01) : 273 - 283
[2] Extremals for Moser inequalities
Hudson, S
Leckband, M
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2004, 171 (01) : 43 - 54
[3] Extremals for Moser Inequalities
S. Hudson
M. Leckband
Archive for Rational Mechanics and Analysis, 2004, 171 : 43 - 54
[4] On the Existence of Extremals for Moser-Type Inequalities in Gauss Space
Cianchi, Andrea
Musil, Vit
Pick, Lubos
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (02) : 1494 - 1537
[5] THE NONEXISTENCE OF EXTREMALS FOR THE HARDY-TRUDINGER-MOSER INEQUALITY IN THE HYPERBOLIC SPACE
Luo, Qianjin
JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (01): : 97 - 115
[6] COMPACTNESS OF EXTREMALS FOR SINGULAR TRUDINGER-MOSER INEQUALITIES ON THE WHOLE EUCLIDEAN SPACE
Li, Xiaomeng
Yang, Liu
Su, Xianfeng
JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (03): : 1179 - 1181
[7] Sharp weighted Trudinger–Moser–Adams inequalities on the whole space and the existence of their extremals
Lu Chen
Guozhen Lu
Caifeng Zhang
Calculus of Variations and Partial Differential Equations, 2019, 58
[8] Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals
Chen, Lu
Lu, Guozhen
Zhang, Caifeng
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 58 (04)
[9] Energy Estimates on Existence of Extremals for Trudinger–Moser Inequalities
Ya Min WANG
Acta Mathematica Sinica,English Series, 2020, (07) : 829 - 841
[10] Energy Estimates on Existence of Extremals for Trudinger–Moser Inequalities
Ya Min Wang
Acta Mathematica Sinica, English Series, 2020, 36 : 829 - 841

← 1 2 3 4 5 →