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Sobolev classes and horizontal energy minimizers between Carnot-Carathéodory spaces

Kang-Hai Tan
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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 $C^{2}$, noncharacteristic bounded open set in a C-C space and the target is a C-C space of Carnot type.

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Kang-Hai Tan. 2007-01-10. Sobolev classes and horizontal energy minimizers between Carnot-Carathéodory spaces. https://arxiv.org/abs/math/0701280

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