A Weighted Singular Trudinger-Moser Inequality

Peng-Xiu Yu

doi:10.4208/jpde.v35.n3.2

A Weighted Singular Trudinger-Moser Inequality

Authors

Peng-Xiu Yu School of Mathematics, Renmin University of China, Beijing 100872, China

DOI:

https://doi.org/10.4208/jpde.v35.n3.2

Keywords:

Singular Trudinger-Moser inequality, extremal function, blow-up analysis.

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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Published

2022-06-29

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Issue

Vol. 35 No. 3 (2022)

Section

Articles

How to Cite

A Weighted Singular Trudinger-Moser Inequality. (2022). Journal of Partial Differential Equations, 35(3), 208-222. https://doi.org/10.4208/jpde.v35.n3.2