Published Paper
Inserted: 14 dec 2001
Journal: J. Geom. Anal.
Volume: 11
Pages: 17-41
Year: 2000
Abstract:
We show that the $L^p$ norm of the second fundamental form of hypersurfaces in $R^{n+1}$ is very cohercive 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.
Keywords: Variational problems, generalized curvature, direct method, compactness for families of surfaces