MULTIPLICATIVE SOBOLEV INEQUALITIES OF THE LADYZHENSKAYA TYPE

被引：0

作者：

Cho, Yong-Kum ^{[1
]}

机构：

[1] Chung Ang Univ, Coll Nat Sci, Dept Math, Seoul 156756, South Korea

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2011年 / 14卷 / 02期

关键词：

Multiplicative Sobolev inequality;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a set of multiplicative Sobolev inequalities that yield less restrictive embedding and Trudinger-type results. The proofs are elementary and deduced only from a multiplicative inequality of Gagliardo-Nirenberg and Holder's inequality with no recourse to any potential estimates.

引用

页码：335 / 341

页数：7

共 50 条

[21] Inequalities related to Hp smoothness of Sobolev type
Cho, YK
INTEGRAL EQUATIONS AND OPERATOR THEORY, 1999, 35 (04) : 471 - 484
[22] Sobolev-type inequalities for Dunkl operators
Velicu, Andrei
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 279 (07)
[23] General Sobolev type inequalities for symmetric forms
Mao, Yong-Hua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) : 1092 - 1099
[24] Optimal Sobolev Type Inequalities in Lorentz Spaces
Cassani, Daniele
Ruf, Bernhard
Tarsi, Cristina
POTENTIAL ANALYSIS, 2013, 39 (03) : 265 - 285
[25] Remarks on inequalities of Hardy-Sobolev Type
Ying-Xiong Xiao
Journal of Inequalities and Applications, 2011
[26] Inequalities related toHp smoothness of Sobolev type
Yong-Kum Cho
Integral Equations and Operator Theory, 1999, 35 : 471 - 484
[27] Sections of Functions and Sobolev-Type Inequalities
Kolyada, V. I.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2014, 284 (01) : 192 - 203
[28] Sobolev type inequalities for compact metric graphs
Muhammad Usman
Journal of Inequalities and Applications, 2018
[29] Remarks on inequalities of Hardy-Sobolev Type
Xiao, Ying-Xiong
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
[30] Sobolev Type Inequalities, Euler–Hilbert–Sobolev and Sobolev–Lorentz–Zygmund Spaces on Homogeneous Groups
Michael Ruzhansky
Durvudkhan Suragan
Nurgissa Yessirkegenov
Integral Equations and Operator Theory, 2018, 90

← 1 2 3 4 5 →