SOME HARDY INEQUALITIES ON HALF SPACES FOR GRUSHIN TYPE OPERATORS

被引：1

作者：

Xiao, Ying-Xiong ^{[1
]}

机构：

[1] Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2013年 / 16卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hardy inequality; Grushin type operators;

D O I：

10.7153/mia-16-60

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some sharp Hardy type inequalities on half spaces for Grushin type operators like Delta(x) + (1+gamma)(2) vertical bar x vertical bar(2 gamma) Delta(y) with gamma > 0.

引用

页码：793 / 807

页数：15

共 7 条

[1]

[Anonymous], 1982, Mathematical Notes

[2] Hardy inequalities related to Grushin type operators [J].

D'Ambrosio, L .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (03) :725-734

[3] Nonlinear Liouville theorems for Grushin and Tricomi operators [J].

D'Ambrosio, L ;

Lucente, S .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 193 (02) :511-541

[4]

Dou JB, 2010, MATH INEQUAL APPL, V13, P555

[5]

Filippas S, 2009, J EUR MATH SOC, V11, P1165

[6] WEIGHTED SOBOLEV-POINCARE INEQUALITIES FOR GRUSHIN TYPE OPERATORS [J].

FRANCHI, B ;

GUTIERREZ, CE ;

WHEEDEN, RL .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1994, 19 (3-4) :523-604

[7]

Maz'ya V, 2009, INT MAT SER, V8, P223

← 1 →