The sharp affine L-2 Sobolev trace inequality and variants
We establish a sharp affine Sobolev trace inequality by using the Busemann-Petty centroid inequality. For , our affine version is stronger than the famous sharp Sobolev trace inequality proved independently by Escobar and Beckner. Our approach allows also to characterize all cases of equality in thi...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/181364 |
| Acceso en línea: | https://hdl.handle.net/11441/181364 https://doi.org/10.1007/s00208-017-1548-9 |
| Access Level: | acceso abierto |
| Palabra clave: | Functional Analysis Analysis of PDEs |
| Sumario: | We establish a sharp affine Sobolev trace inequality by using the Busemann-Petty centroid inequality. For , our affine version is stronger than the famous sharp Sobolev trace inequality proved independently by Escobar and Beckner. Our approach allows also to characterize all cases of equality in this case. For this new inequality, no Euclidean geometric structure is needed. |
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