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arXiv · 0910.0971

Moser-Trudinger inequality on conformal discs

G. Mancini·K. Sandeep
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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.

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G. Mancini, K. Sandeep. 2009-10-06. Moser-Trudinger inequality on conformal discs. https://arxiv.org/abs/0910.0971

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