@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} }