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Singular Moser-Trudinger inequality with the exact growth condition on hyperbolic space

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In this paper, we are concerned with a singular version of the Moser-Trudinger inequality with the exact growth condition in the n-dimension hyperbolic space Hn$\mathbb{H}^{n}$. Our result is a natural… Click to show full abstract

In this paper, we are concerned with a singular version of the Moser-Trudinger inequality with the exact growth condition in the n-dimension hyperbolic space Hn$\mathbb{H}^{n}$. Our result is a natural extension of the work of Lu and Tang in (J. Geom. Anal. 26:837-857, 2016).

Keywords: exact growth; moser trudinger; hyperbolic space; trudinger inequality; growth condition; inequality exact

Journal Title: Journal of Inequalities and Applications
Year Published: 2017

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