MANCINI, G. ; SANDEEP, K. (2010) Moser–Trudinger inequality on conformal discs Communications in Contemporary Mathematics, 12 (06). pp. 1055-1068. ISSN 0219-1997
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Official URL: http://doi.org/10.1142/S0219199710004111
Related URL: http://dx.doi.org/10.1142/S0219199710004111
Abstract
We prove that a sharp Moser–Trudinger inequality holds true on a conformal disc if and only if the metric is bounded from above by the Poincaré metric. We also derive necessary and sufficient conditions for the validity of a sharp Moser–Trudinger inequality on a simply connected domain in ℝ2.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Co Pte Ltd. |
| Keywords: | Moser–Trudinger Inequality; Conformal Disc. |
| ID Code: | 121255 |
| Deposited On: | 13 Jul 2021 07:30 |
| Last Modified: | 13 Jul 2021 07:30 |
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