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...

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Detalles Bibliográficos
Autores principales: Huang, Lirong, Rocha, Eugenio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
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
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author Huang, Lirong
Rocha, Eugenio
author_facet Huang, Lirong
Rocha, Eugenio
author_sort Huang, Lirong
collection PubMed
description 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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spelling pubmed-60624892018-08-09 On a class of N-dimensional anisotropic Sobolev inequalities Huang, Lirong Rocha, Eugenio J Inequal Appl Research 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. Springer International Publishing 2018-07-05 2018 /pmc/articles/PMC6062489/ /pubmed/30137891 http://dx.doi.org/10.1186/s13660-018-1754-3 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Huang, Lirong
Rocha, Eugenio
On a class of N-dimensional anisotropic Sobolev inequalities
title On a class of N-dimensional anisotropic Sobolev inequalities
title_full On a class of N-dimensional anisotropic Sobolev inequalities
title_fullStr On a class of N-dimensional anisotropic Sobolev inequalities
title_full_unstemmed On a class of N-dimensional anisotropic Sobolev inequalities
title_short On a class of N-dimensional anisotropic Sobolev inequalities
title_sort on a class of n-dimensional anisotropic sobolev inequalities
topic Research
url 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
work_keys_str_mv AT huanglirong onaclassofndimensionalanisotropicsobolevinequalities
AT rochaeugenio onaclassofndimensionalanisotropicsobolevinequalities

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