Karmakar, Debabrata ; Sandeep, Kunnath (2016) Adams inequality on the hyperbolic space Journal of Functional Analysis, 270 (5). pp. 1792-1817. ISSN 0022-1236
Full text not available from this repository.
Official URL: http://doi.org/10.1016/j.jfa.2015.11.019
Related URL: http://dx.doi.org/10.1016/j.jfa.2015.11.019
Abstract
In this article we establish the following Adams type inequality in the hyperbolic space H N: sup u∈ C c∞(H N),∫ H N (P k u) u d v g≤ 1∫ H N (e β u 2− 1) d v g<∞ iff β≤ β 0 (N, k) where 2 k= N, P k is the critical GJMS operator in H N and β 0 (N, k) is as defined in (1.3). As an application we prove the asymptotic behaviour of the best constants in Sobolev inequalities when 2 k= N and also prove some existence results for the Q k curvature type equation in H N.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Adams Inequality; Hyperbolic Space. |
| ID Code: | 121233 |
| Deposited On: | 13 Jul 2021 06:42 |
| Last Modified: | 13 Jul 2021 06:42 |
Repository Staff Only: item control page
