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Partial regularity results for subelliptic systems in the Heisenberg group

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Abstract

We consider subelliptic systems in the Heisenberg group. We give a new proof for the smoothness of solutions of inhomogeneous systems with constant coefficients. With this result, we prove partial Hölder continuity of the horizontal gradient for non-linear systems with p-growth for p≥2 via the \(\mathcal {A}\) -harmonic approximation technique.

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  1. Mathematisches Institut der Friedrich-Alexander-Universität Erlangen-Nürnberg, Bismarckstr. 1 1/2, 91054, Erlangen, Germany

    Anna Föglein

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  1. Anna Föglein
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Föglein, A. Partial regularity results for subelliptic systems in the Heisenberg group. Calc. Var. 32, 25–51 (2008). https://doi.org/10.1007/s00526-007-0127-4

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  • DOI: https://doi.org/10.1007/s00526-007-0127-4

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