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The Compactness of Extremals for a Singular Hardy-Trudinger-Moser Inequality
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@Article{JPDE-37-235,
author = {Luo , Qianjin and Li , Xiaomeng},
title = {The Compactness of Extremals for a Singular Hardy-Trudinger-Moser Inequality},
journal = {Journal of Partial Differential Equations},
year = {2024},
volume = {37},
number = {3},
pages = {235--250},
abstract = {
Motivated by a recent work of Wang-Yang [19] , we study the compactness of extremals $\{u_β\}$ for singular Hardy-Trudinger-Moser inequalities due to Hou [24] . In particular, by the method of blow-up analysis, we conclude that, up to a subsequence, $u_β$ converges to an extremal in some sense as $β$ tends to zero.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v37.n3.1}, url = {http://global-sci.org/intro/article_detail/jpde/23377.html} }
TY - JOUR
T1 - The Compactness of Extremals for a Singular Hardy-Trudinger-Moser Inequality
AU - Luo , Qianjin
AU - Li , Xiaomeng
JO - Journal of Partial Differential Equations
VL - 3
SP - 235
EP - 250
PY - 2024
DA - 2024/08
SN - 37
DO - http://doi.org/10.4208/jpde.v37.n3.1
UR - https://global-sci.org/intro/article_detail/jpde/23377.html
KW - Compactness, Hardy-Trudinger-Moser inequality, blow-up analysis.
AB -
Motivated by a recent work of Wang-Yang [19] , we study the compactness of extremals $\{u_β\}$ for singular Hardy-Trudinger-Moser inequalities due to Hou [24] . In particular, by the method of blow-up analysis, we conclude that, up to a subsequence, $u_β$ converges to an extremal in some sense as $β$ tends to zero.
Luo , Qianjin and Li , Xiaomeng. (2024). The Compactness of Extremals for a Singular Hardy-Trudinger-Moser Inequality.
Journal of Partial Differential Equations. 37 (3).
235-250.
doi:10.4208/jpde.v37.n3.1
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