English

Sobolev classes and horizontal energy minimizers between Carnot-Carath\'{e}odory spaces

Analysis of PDEs 2007-05-23 v1

Abstract

The notion of horizontal energy minimizers between C-C spaces is introduced. We prove existence of such energy minimizers when the domain is a C2C^{2}, noncharacteristic bounded open set in a C-C space and the target is a C-C space of Carnot type.

Keywords

Cite

@article{arxiv.math/0701280,
  title  = {Sobolev classes and horizontal energy minimizers between Carnot-Carath\'{e}odory spaces},
  author = {Kang-Hai Tan},
  journal= {arXiv preprint arXiv:math/0701280},
  year   = {2007}
}

Comments

29 pages

R2 v1 2026-07-22T17:49:09.029Z