Existence of Conformal Metrics on Spheres with Prescribed Paneitz Curvature
| dc.creator | Ayed, Mohamed Ben | |
| dc.creator | Mehdi, Khalil El | |
| dc.date | 2003-05-14 | |
| dc.date | 2004-03-18 | |
| dc.date.accessioned | 2026-07-07T04:58:00Z | |
| dc.date.available | 2026-07-07T04:58:00Z | |
| dc.description | In this paper we study the problem of prescribing a fourth order conformal invariant (the Paneitz curvature) on the $n$-sphere, with $n\geq 5$. Using tools from the theory of critical points at infinity, we provide some topological conditions on the level sets of a given positive function under which we prove the existene of a metric, conformally equivalent to the standard metric, with prescribed Paneitz curvature. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305199 | |
| dc.identifier | http://arxiv.org/abs/math/0305199 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67462 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60; 53C21; 58J05 | |
| dc.title | Existence of Conformal Metrics on Spheres with Prescribed Paneitz Curvature | |
| dc.type | text |