We study local properties of weak subelliptic F-harmonic maps of a nondegenerate CR manifold into a sphere. We show that any weak solution $\phi \in W^{1,D}_X (\Omega , S^m )$ to the system of subelliptic F-harmonic maps is locally Holder continuous, where D is the homogeneous dimension of $\Omega$ with respect to the Hormander system X.

On the regularity of weak subelliptic F-harmonic maps

BARLETTA, Elisabetta;DRAGOMIR, Sorin
2004-01-01

Abstract

We study local properties of weak subelliptic F-harmonic maps of a nondegenerate CR manifold into a sphere. We show that any weak solution $\phi \in W^{1,D}_X (\Omega , S^m )$ to the system of subelliptic F-harmonic maps is locally Holder continuous, where D is the homogeneous dimension of $\Omega$ with respect to the Hormander system X.
2004
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/16704
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