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Sharp Sobolev Inequalities via Projection Averages
A family of sharp [Formula: see text] Sobolev inequalities is established by averaging the length of i-dimensional projections of the gradient of a function. Moreover, it is shown that each of these new inequalities directly implies the classical [Formula: see text] Sobolev inequality of Aubin and...
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer US
2020
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8549948/ https://www.ncbi.nlm.nih.gov/pubmed/34720562 http://dx.doi.org/10.1007/s12220-020-00544-6 |