Pólya-Szegő inequalities on submanifolds with small total mean curvature

Pietro Aldrigo, Zoltán M. Balogh

We establish Pólya-Szegő-type inequalities (PSIs) for Sobolev-functions defined on a regular $n$-dimensional submanifold $\Sigma$ (possibly with boundary) of a $(n+m)$-dimensional Eucli…