Hardy type inequalities for Δλ-Laplacians

被引：32
|
作者：
Kogoj, Alessia E. [1 ,3 ]
Sonner, Stefanie [2 ,3 ]
机构：
[1] Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, IT-40126 Bologna, Italy
[2] Univ Kaiserslautern, Felix Klein Ctr Math, Paul Ehrlich Str 31, D-67663 Kaiserslautern, Germany
[3] BCAM Basque Ctr Appl Math, Mazarredo 14, E-48009 Bilbao, Basque Country, Spain
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2016年 / 61卷 / 03期
关键词：
Hardy inequalities; sub-elliptic operators; Grushin operator; ELLIPTIC DIFFERENTIAL-OPERATORS; GRUSHIN TYPE OPERATORS; PARABOLIC EQUATIONS; VECTOR-FIELDS; HEAT-EQUATION; ATTRACTORS; BEHAVIOR;
D O I：
10.1080/17476933.2015.1088530
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive Hardy- type inequalities for a large class of sub- elliptic operators that belong to the class of .- Laplacians and find explicit values for the constants involved. Our results generalize previous inequalities obtained for Grushin- type operators x + | x| 2a y, ( x, y). R N1 x R N2, a = 0, which were proved to be sharp.
引用
收藏
页码：422 / 442
页数：21
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