@Article{JPDE-31-1,
author = {Zhou, Changliang and Zhou, Chunqin},
title = {Extremal Functions of the Singular Moser-Trudinger Inequality Involving the Eigenvalue},
journal = {Journal of Partial Differential Equations},
year = {2018},
volume = {31},
number = {1},
pages = {71--96},
abstract = {<p>In this paper, we derive the singular Moser-Trudinger inequality which involves the first eigenvalue and several singular points, and further prove the existence of the extremal functions for the relative Moser-Trudinger functional. Since the problems involve more complicated norm and multiple singular points, not only we can’t use the symmetrization to deal with a one-dimensional inequality, but also the processes of the blow-up analysis become more delicate. In particular, the new inequality is more general than that of [1, 2].</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v31.n1.6},
url = {https://global-sci.com/article/88199/extremal-functions-of-the-singular-moser-trudinger-inequality-involving-the-eigenvalue}
}