Sobolev classes and horizontal energy minimizers between Carnot-Caratheodory spaces

被引：3
|
作者：
Tan, KH [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2004年 / 6卷 / 02期
关键词：
Sobolev mappings; Carnot-Caratheodory spaces; Carnot groups; energy minimizers; existence; regularity;
D O I：
10.1142/S0219199704001343
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notion of horizontal energy minimizers between C-C spaces is introduced. We prove the existence of such energy minimizers when the domain is a C-2, noncharacteristic bounded open set in a C-C space and the target is a C-C space of Carnot type.
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页码：315 / 347
页数：33
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