Hardy inequalities related to Grushin type operators

被引：75

作者：

D'Ambrosio, L

机构：

[1] SISSA, ISAS, I-34014 Trieste, Italy

[2] Dipartimento Matemat, I-70125 Bari, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 03期

关键词：

Hardy inequality; Grushin operator;

D O I：

10.1090/S0002-9939-03-07232-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some Hardy type inequalities related to the Grushin type operator Delta(x) + \x\(2gamma) Delta(y).

引用

页码：725 / 734

页数：10

共 18 条

[1]

Allegretto W, 1998, NONLINEAR ANAL-THEOR, V32, P819

[2]

Azorero JPG, 1998, J DIFFER EQUATIONS, V144, P441

[3] THE HEAT-EQUATION WITH A SINGULAR POTENTIAL [J].

BARAS, P ;

GOLDSTEIN, JA .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 284 (01) :121-139

[4]

Brezis H, 1998, B UNIONE MAT ITAL, V1B, P223

[5]

Brezis H., 1997, Rev. Mat. Univ. Complut. Madrid, V10, P443

[6] Some Hardy inequalities on the Heisenberg group [J].

D'Ambrosio, L .

DIFFERENTIAL EQUATIONS, 2004, 40 (04) :552-564

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

D'Ambrosio, L ;

Lucente, S .

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

[8]

DAVIES E. B, 1999, Oper. Theory Adv. Appl., V110, P55

[9] The Hardy constant [J].

Davies, EB .

QUARTERLY JOURNAL OF MATHEMATICS, 1995, 46 (184) :417-431

[10]

Davies EB, 1998, MATH Z, V227, P511, DOI 10.1007/PL00004389

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