Document Type

Article

Publication Date

3-1-2003

Publication Title

Journal of the European Mathematical Society

Abstract

We prove the hypoellipticity for systems of Hörmander type with constant coefficients in Carnot groups of step 2. This result is used to implement blow-up methods and prove partial regularity for local minimizers of non-convex functionals, and for solutions of non-linear systems which appear in the study of non-isotropic metric structures with scalings. We also establish estimates of the Hausdorff dimension of the singular set.

Volume

5

Issue

1

First Page Number

1

Last Page Number

40

DOI

10.1007/s100970200043

Version

Preprint

Rights

Copyright Springer-Verlag & EMS 2002

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