A Weighted Singular Trudinger-Moser Inequality

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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).

Keywords:

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

10.4208/jpde.v35.n3.2

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
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