Pólya-Szegő Inequalities on Submanifolds with Small Total Mean Curvature
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We establish Pólya-Szegő-type inequalities (PSIs) for Sobolev-functions defined on a regular n-dimensional submanifold Σ (possibly with boundary) of a ( n + m ) -dimensional Euclidean space, under explicit upper bounds of the total mean curvature. The ... ...
