Singular Moser-Trudinger inequality with the exact growth condition on hyperbolic space
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1398-8
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… read more here.
Keywords: exact growth; moser trudinger; hyperbolic space; trudinger inequality ... See more keywords
The Hardy–Moser–Trudinger inequality via the transplantation of Green functions
Sign Up to like & getrecommendations! Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020155
Abstract: We provide a new proof of the Hardy–Moser–Trudinger inequality and the existence of its extremals which are established by Wang and Ye ("G. Wang, and D. Ye, A Hardy–Moser–Trudinger inequality, Adv. Math, 230 (2012) 294–230.")… read more here.
Keywords: hardy moser; moser trudinger; trudinger inequality; transplantation green ... See more keywords