Sobolev classes and horizontal energy minimizers between Carnot-Carathéodory spaces

Details Sobolev classes and horizontal energy minimizers between Carnot-Carathéodory spaces Sobolev classes and horizontal energy minimizers between Carnot-Carathéodory spaces

2007-01-10

arxiv.org/abs/math/0701280v1

Commun. Contemp. Math. Vol.6,No.2,315-347 (2004)

Mathematics

Analysis of PDEs

29 pages

Scientific paper

The notion of horizontal energy minimizers between C-C spaces is introduced.
We prove 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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