Finsler Hardy inequalities

被引：8

作者：

Mercaldo, Anna ^{[1
]}

Sano, Megumi ^{[2
]}

Takahashi, Futoshi ^{[3
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Complesso Monte S Angelo,Via Cintia, I-80126 Naples, Italy

[2] Hiroshima Univ, Grad Sch Engn, Lab Math, Higashihiroshima 7398527, Japan

[3] Osaka City Univ, Dept Math, Sumiyoshi Ku, 3-3-138 Sugimoto, Osaka 5588585, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2020年 / 293卷 / 12期

关键词：

best constant; Finsler norm; Hardy inequality; ISOPERIMETRIC-INEQUALITIES; CONSTANT;

D O I：

10.1002/mana.201900117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present a unified simple approach to anisotropic Hardy inequalities in various settings. We consider Hardy inequalities which involve a Finsler distance from a point or from the boundary of a domain. The sharpness and the non-attainability of the constants in the inequalities are also proved.

引用

收藏

页码：2370 / 2398

页数：29

相关论文

共 40 条

[1] Some improved Caffarelli-Kohn-Nirenberg inequalities [J].

Abdellaoui, B ;

Colorado, E ;

Peral, I .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2005, 23 (03) :327-345

[2]

Akagi G., ADV CALC VAR

[3] Some isoperimetric inequalities on RN with respect to weights |x|α [J].

Alvin, A. ;

Brock, F. ;

Chiacchio, F. ;

Mercaldo, A. ;

Posteraro, M. R. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 451 (01) :280-318

[4] Finsler Hardy-Kato's inequality [J].

Alvino, A. ;

Ferone, A. ;

Mercaldo, A. ;

Takahashi, F. ;

Volpicelli, R. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 470 (01) :360-374

[5] Convex symmetrization and applications [J].

Alvino, A ;

Ferone, V ;

Trombetti, G ;

Lions, PL .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1997, 14 (02) :275-293

[6]

Alvino A., 2006, APPL ANAL, V85, P171

[7] Some qualitative properties of Finsler p-Laplacian [J].

Bal, Kaushik ;

Garain, Prashanta ;

Mandal, Indubaran .

INDAGATIONES MATHEMATICAE-NEW SERIES, 2017, 28 (06) :1258-1264

[8] Hardy Inequalities for Finsler p-Laplacian in the Exterior Domain [J].

Bal, Kaushik .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (04)

[9]

Bao D., 2012, An Introduction to Riemann-Finsler Geometry, V200

[10] A unified approach to improved Lp hardy inequalities with best constants [J].

Barbatis, G ;

Filippas, S ;

Tertikas, A .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (06) :2169-2196

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