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The Pólya-Szegö Principle and the Anisotropic Convex Lorentz-Sobolev Inequality
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.
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Hindawi Publishing Corporation
2014
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4124251/ https://www.ncbi.nlm.nih.gov/pubmed/25136698 http://dx.doi.org/10.1155/2014/875245 |