Sobolev classes and horizontal energy minimizers between Carnot-Caratheodory spaces

被引：2

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.

引用

页码：315 / 347

页数：33

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