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Regularity for the prescribed vertical mean curvature system in the plane

Hirsch, Jonas et al.
arXiv (All) · Papers
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35b65analysis-of-pdes
We prove everywhere regularity for Lipschitz solutions to the prescribed vertical mean curvature system in the plane, where the codimension is arbitrary and the mean curvature is in $L^r, \, r > 2$. This strengthens and extends our previous result on the Lawson-Osserman conjecture, https://arxiv.org
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