Sandeep, Kunnath ; Tintarev, Cyril (2017) A subset of Caffarelli–Kohn–Nirenberg inequalities in the hyperbolic space HN Annali di Matematica Pura ed Applicata, 196 (6). pp. 2005-2021. ISSN 0373-3114
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Official URL: http://doi.org/10.1007/s10231-017-0650-7
Related URL: http://dx.doi.org/10.1007/s10231-017-0650-7
Abstract
We prove a subset of inequalities of Caffarelli–Kohn–Nirenberg type in the hyperbolic space HN,N≥2, based on invariance with respect to a certain nonlinear scaling group, and study existence of corresponding minimizers. Earlier results concerning the Moser–Trudinger inequality are now interpreted in terms of CKN inequalities on the Poincaré disk.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer-Verlag. |
| Keywords: | Scale Invariance; CKN Inequalities; Concentration Compactness; Weak Convergence; Hyperbolic Space; Poincaré Ball; Hardy Inequalities. |
| ID Code: | 121230 |
| Deposited On: | 13 Jul 2021 06:37 |
| Last Modified: | 13 Jul 2021 06:37 |
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