Year: 2024
Author: Qianjin Luo, Xiaomeng Li
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v37.n3.1
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 3 : pp. 235–250
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Compactness Hardy-Trudinger-Moser inequality blow-up analysis.