A $W^{2,p}$-estimate for nearly umbilical hypersurfaces

Stefano Gioffrè

Let $n\ge 2$, $p\in (1,+\infty )$ be given and let $\Sigma$ be a $n$-dimensional, closed hypersurface in ${\mathbb{R}}^{n+1}$. Denote by $A$ its second fundamental form, and by $\mat…