Sharp Adams type inequalities in Lorentz-Sobole space

被引：0

作者：

Wang, Guanglan ^{[1
]}

Wu, Yan ^{[1
]}

Li, Guoliang ^{[1
]}

机构：

[1] Linyi Univ, Sch Math & Stat, Linyi 276005, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Adams type inequalities; Lorentz-Sobolev space; Moser-Trudinger type inequalities; Hardy-Littlewood inequality; Riesz representation; MOSER-TYPE INEQUALITY; UNBOUNDED-DOMAINS; TRUDINGER; OPERATORS; EXPONENT;

D O I：

10.3934/math.20231131

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article addresses several sharp weighted Adams type inequalities in Lorentz-Sobolev spaces by using symmetry, rearrangement and the Riesz representation formula. In particular, the sharpness of these inequalities were also obtained by constructing a proper test sequence.

引用

页码：22192 / 22206

页数：15

共 32 条

[1] Trudinger type inequalities in RN and their best exponents [J].

Adachi, S ;

Tanaka, K .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (07) :2051-2057

[2] A SHARP INEQUALITY OF MOSER,J. FOR HIGHER-ORDER DERIVATIVES [J].

ADAMS, DR .

ANNALS OF MATHEMATICS, 1988, 128 (02) :385-398

[3] Blow-up analysis in dimension 2 and a sharp form of Trudinger-Moser inequality [J].

Adimurthi ;

Druet, O .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2004, 29 (1-2) :295-322

[4] A singular Moser-Trudinger embedding and its applications [J].

Adimurthi ;

Sandeep, K. .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2007, 13 (5-6) :585-603

[5]

Alvino A, 1996, POTENTIAL ANAL, V5, P273

[6]

[Anonymous], 1976, Annali della Scuola Normale Superiore di Pisa-Classe di Scienze

[7] NONTRIVIAL SOLUTION OF SEMILINEAR ELLIPTIC EQUATION WITH CRITICAL EXPONENT IN R2 [J].

CAO, DM .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1992, 17 (3-4) :407-435

[8]

CARLESON L, 1986, B SCI MATH, V110, P113

[9] A Moser-type inequality in Lorentz-Sobolev spaces for unbounded domains in RN [J].

Cassani, Daniele ;

Tarsi, Cristina .

ASYMPTOTIC ANALYSIS, 2009, 64 (1-2) :29-51

[10] The inequality of Moser and Trudinger and applications to conformal geometry [J].

Chang, SYA ;

Yang, PC .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2003, 56 (08) :1135-1150

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