Conformal Laplacian and Conical Singularities
| dc.creator | Botvinnik, Boris | |
| dc.creator | Preston, Serge | |
| dc.date | 2002-01-08 | |
| dc.date | 2002-12-10 | |
| dc.date.accessioned | 2026-07-07T04:45:44Z | |
| dc.date.available | 2026-07-07T04:45:44Z | |
| dc.description | We study a behavior of the conformal Laplacian operator $Ł_g$ on a manifold with \emph{tame conical singularities}: when each singularity is given as a cone over a product of the standard spheres. We study the spectral properties of the operator $Ł_g$ on such manifolds. We describe the asymptotic of a general solution of the equation $Ł_g u = Q u^α$ with $1\leq α\leq \frac{n+2}{n-2}$ near each singular point. In particular, we derive the asymptotic of the Yamabe metric near such singularity. | |
| dc.description | Revision 61 pages | |
| dc.identifier | https://arxiv.org/abs/math/0201058 | |
| dc.identifier | http://arxiv.org/abs/math/0201058 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63065 | |
| dc.subject | Differential Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 53C20 | |
| dc.title | Conformal Laplacian and Conical Singularities | |
| dc.type | text |