@Article{JPDE-35-331,
author = {Gui , Yaoting},
title = {A Singular Moser-Trudinger Inequality on Metric Measure Space},
journal = {Journal of Partial Differential Equations},
year = {2022},
volume = {35},
number = {4},
pages = {331--343},
abstract = {<p style="text-align: justify;">Let $(X,d,\mu)$ be a metric space with a Borel-measure $\mu$, suppose $\mu$ satisfies the Ahlfors-regular condition, i.e. \begin{equation*} b_1r^s\leq\mu(B_r(x))\leq b_2r^s,\qquad \forall B_r(x)\subset X, \;\; \&nbsp; r&gt;0, \end{equation*} where $b_1$, $b_2$ are two positive constants and $s$ is the volume growth exponent. In this paper, we mainly study two things, one is to consider the best constant of the Moser-Trudinger inequality on such metric space under the condition that $s$ is not less than 2. The other is to study the generalized Moser-Trudinger inequality with a singular weight.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v35.n4.3},
url = {http://global-sci.org/intro/article_detail/jpde/21052.html}
}