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On a class of N-dimensional anisotropic Sobolev inequalities
In this paper, we study the smallest constant α in the anisotropic Sobolev inequality of the form [Formula: see text] and the smallest constant β in the inequality [Formula: see text] where [Formula: see text] with [Formula: see text] and [Formula: see text] . These constants are characterized by va...
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer International Publishing
2018
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6062489/ https://www.ncbi.nlm.nih.gov/pubmed/30137891 http://dx.doi.org/10.1186/s13660-018-1754-3 |
| Sumario: | In this paper, we study the smallest constant α in the anisotropic Sobolev inequality of the form [Formula: see text] and the smallest constant β in the inequality [Formula: see text] where [Formula: see text] with [Formula: see text] and [Formula: see text] . These constants are characterized by variational methods and scaling techniques. The techniques used here seem to have independent interests. |
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