Let M be an entire graph in the Euclidean (n+1)-space R. Denote by H , R and |A|, respectively, the mean curvature, the scalar curvature and the length of the second fundamental form of M. We proveâ€¦ (More)

A rare case of infantile myasthenia gravis (congenital type) is reported. The child was 16 months old at the time of the diagnosis, although she presented signs suggestive of the disease since twoâ€¦ (More)

The Bieberbach estimate, a pivotal result in the classical theory of univalent functions, states that any injective holomorphic function f on the open unit disc D satisfies |f â€²â€² (0)| â‰¤ 4|f â€² (0)|.â€¦ (More)

Any non-empty open convex subset of Rn is the convex hull of a complete submanifold M , of any codimension, but there are obstructions if the geometry of M is, a priori, suitably controlled atâ€¦ (More)

Let M âŠ‚ R be the graph of a C-real valued function defined in a closed ball of R. In this work, we obtain upper bounds for infM |H | and infM |R|, where H and R are, respectively, the mean curvatureâ€¦ (More)