Sobolev classes and horizontal energy minimizers between Carnot-Carathéodory spaces
Abstract
Description
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.
29 pages
29 pages