Energy Quantization for Yamabe's problem in Conformal Dimension
| dc.creator | Mahmoudi, Fethi | |
| dc.date | 2006-09-04 | |
| dc.date.accessioned | 2026-07-07T07:24:29Z | |
| dc.date.available | 2026-07-07T07:24:29Z | |
| dc.description | T. Riviere proved an energy quantization for Yang-Mills fields defined on n-dimensional Riemannian manifolds, when $n$ is larger than the critical dimension 4. More precisely, he proved that the defect measure of a weakly converging sequence of Yang-Mills fields is quantized, provided the $W^{2,1}$ norm of their curvature is uniformly bounded. In the present paper, we prove a similar quantization phenomenon for the Yamabe problem in a bounded domain $Ω$ of $R^n$. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0609103 | |
| dc.identifier | http://arxiv.org/abs/math/0609103 | |
| dc.identifier | Electron. J. Diff. Eqns., Vol. 2006(2006), No. 71, pp. 1-17 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116371 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B33, 46E30, 46L65 | |
| dc.title | Energy Quantization for Yamabe's problem in Conformal Dimension | |
| dc.type | text |