Extremal functions for Trudinger–Moser inequalities with nonnegative weights

Using blow-up analysis, the author proves the existence of extremal functions for Trudinger–Moser inequalities with nonnegative weights on bounded Euclidean domains or compact Riemannian surfaces. This extends recent results of Yang (J. Differ. Equ. 258:3161–3193, 2015) and Yang–Zhu (Proc. Am. Math....

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Detalles Bibliográficos
Autor principal: Hou, Songbo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5970203/
https://www.ncbi.nlm.nih.gov/pubmed/29881242
http://dx.doi.org/10.1186/s13660-018-1718-7
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author Hou, Songbo
author_facet Hou, Songbo
author_sort Hou, Songbo
collection PubMed
description Using blow-up analysis, the author proves the existence of extremal functions for Trudinger–Moser inequalities with nonnegative weights on bounded Euclidean domains or compact Riemannian surfaces. This extends recent results of Yang (J. Differ. Equ. 258:3161–3193, 2015) and Yang–Zhu (Proc. Am. Math. Soc. 145:3953–3959, 2017).
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spelling pubmed-59702032018-06-05 Extremal functions for Trudinger–Moser inequalities with nonnegative weights Hou, Songbo J Inequal Appl Research Using blow-up analysis, the author proves the existence of extremal functions for Trudinger–Moser inequalities with nonnegative weights on bounded Euclidean domains or compact Riemannian surfaces. This extends recent results of Yang (J. Differ. Equ. 258:3161–3193, 2015) and Yang–Zhu (Proc. Am. Math. Soc. 145:3953–3959, 2017). Springer International Publishing 2018-05-25 2018 /pmc/articles/PMC5970203/ /pubmed/29881242 http://dx.doi.org/10.1186/s13660-018-1718-7 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
Hou, Songbo
Extremal functions for Trudinger–Moser inequalities with nonnegative weights
title Extremal functions for Trudinger–Moser inequalities with nonnegative weights
title_full Extremal functions for Trudinger–Moser inequalities with nonnegative weights
title_fullStr Extremal functions for Trudinger–Moser inequalities with nonnegative weights
title_full_unstemmed Extremal functions for Trudinger–Moser inequalities with nonnegative weights
title_short Extremal functions for Trudinger–Moser inequalities with nonnegative weights
title_sort extremal functions for trudinger–moser inequalities with nonnegative weights
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5970203/
https://www.ncbi.nlm.nih.gov/pubmed/29881242
http://dx.doi.org/10.1186/s13660-018-1718-7
work_keys_str_mv AT housongbo extremalfunctionsfortrudingermoserinequalitieswithnonnegativeweights

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