Moser-Trudinger inequality on conformal discs
Analysis of PDEs
2009-10-07 v1 Functional Analysis
Abstract
We show that the Moser-Trudinger inequality holds in a conformal disc if and only if the metric is bounded from above by the Hyperbolic metric. We also find a necessary and sufficient condition for the Moser-Trudinger inequality to hold in an unbounded subset of the two dimensional Euclidean space.
Keywords
Cite
@article{arxiv.0910.0971,
title = {Moser-Trudinger inequality on conformal discs},
author = {G. Mancini and K. Sandeep},
journal= {arXiv preprint arXiv:0910.0971},
year = {2009}
}