The Polya-Szego principle and the anisotropic convex Lorentz-Sobolev inequality.

ABSTRACT: An anisotropic convex Lorentz-Sobolev inequality is established, which extends Ludwig, Xiao, and Zhang's result to any norm from Euclidean norm, and the geometric analogue of this inequality is given. In addition, it implies that the (anisotropic) Pólya-Szegö principle is shown.

SUBMITTER: Liu S 

PROVIDER: S-EPMC4124251 | biostudies-other | 2014

REPOSITORIES: biostudies-other