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 - <p style="text-align: justify;">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.</p>