Year: 2022
Author: Peng-Xiu Yu
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 3 : pp. 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).
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v35.n3.2
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 3 : pp. 208–222
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Singular Trudinger-Moser inequality extremal function blow-up analysis.
Author Details
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Extremal Functions for Trudinger–Moser Inequalities Involving Various $L^{p}$-norms in High Dimension
Zhao, Juan
Taiwanese Journal of Mathematics, Vol. 28 (2024), Iss. 4
https://doi.org/10.11650/tjm/240401 [Citations: 0]