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

摘要

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. Our result is a natural extension of the work of Lu and Tang in (J. Geom. Anal. 26:837-857, ).