Mancini, Gianni ; Sandeep, Kunnath ; Tintarev, Cyril (2013) Trudinger–Moser inequality in the hyperbolic space ℍN Advances in Nonlinear Analysis, 2 (3). ISSN 2191-9496
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Official URL: http://doi.org/10.1515/anona-2013-0001
Related URL: http://dx.doi.org/10.1515/anona-2013-0001
Abstract
We prove a version of the Trudinger–Moser inequality in the hyperbolic space ℍN, which gives a sharper version of the Trudinger–Moser inequality on the Euclidean unit ball, as well as a hyperbolic space version of the Onofri inequality, and prove the existence of extremal functions to some related problems.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Walter de Gruyter GmbH & Co. KG. |
| Keywords: | Rudinger-Moser Inequality; Elliptic Problems In Critical Dimension; Concentration Compactness; Weak Convergence; Palais-Smale Sequences; Hyperbolicspace; Poincaré Disk; Hardy Inequalities. |
| ID Code: | 121238 |
| Deposited On: | 13 Jul 2021 06:55 |
| Last Modified: | 13 Jul 2021 06:55 |
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