@Article{JPDE-35-208, author = {Yu , Peng-Xiu}, title = {A Weighted Singular Trudinger-Moser Inequality}, journal = {Journal of Partial Differential Equations}, year = {2022}, volume = {35}, number = {3}, pages = {208--222}, abstract = {

In this paper, we obtained the extremal function for a weighted singular Trudinger-Moser inequality by  blow-up analysis in the Euclidean space $\mathbb{R}^2$. This extends recent results of Hou (J. Inequal. Appl.,  2018) and similar result was proved by Zhu (Sci. China Math., 2021).

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v35.n3.2}, url = {http://global-sci.org/intro/article_detail/jpde/20772.html} }