TY - JOUR
T1 - A Weighted Singular Trudinger-Moser Inequality
AU - Yu , Peng-Xiu
JO - Journal of Partial Differential Equations
VL - 3
SP - 208
EP - 222
PY - 2022
DA - 2022/06
SN - 35
DO - http://doi.org/10.4208/jpde.v35.n3.2
UR - https://global-sci.org/intro/article_detail/jpde/20772.html
KW - Singular Trudinger-Moser inequality, extremal function, blow-up analysis.
AB - <p style="text-align: justify;">In this paper, we obtained the extremal function for a weighted singular Trudinger-Moser inequality by&nbsp; blow-up analysis in the Euclidean space $\mathbb{R}^2$. This extends recent results of Hou (J. Inequal. Appl.,&nbsp; 2018) and similar result was proved by Zhu (Sci. China Math., 2021).</p>