Absence of bubbling phenomena for non convex anisotropic nearly umbilical and quasi Einstein hypersurfaces

Antonio De Rosa, Stefano Gioffrè

We prove that, for every closed (not necessarily convex) hypersurface $\Sigma$ in ${\mathbb{R}}^{n+1}$ and every $p>n$, the $L^p$-norm of the trace-free part of the anisotropic second fun…