Abstract
We show that the Lpnorm of the second fundamental form of hypersurfaces inRn+1is very coercive in the GMT setting of Gauss graphs currents, when p exceeds the dimension n. A compactness result for immersed hypersurfaces and its application to a variational problem are provided.
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Delladio, S. On hypersurfaces inR n+1 with integral bounds on curvature. J Geom Anal 11, 17–42 (2001). https://doi.org/10.1007/BF02921952
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DOI: https://doi.org/10.1007/BF02921952