The zero scalar curvature Yamabe problem on noncompact manifolds with boundary
| dc.creator | Schwartz, Fernando | |
| dc.date | 2006-05-24 | |
| dc.date.accessioned | 2026-07-07T08:07:52Z | |
| dc.date.available | 2026-07-07T08:07:52Z | |
| dc.description | Let $(M^n,g),~n\ge 3$ be a noncompact complete Riemannian manifold with compact boundary and $f$ a smooth function on $\partial M$. In this paper we show that for a large class of such manifolds, there exists a metric within the conformal class of $g$ that is complete, has zero scalar curvature on $M$ and has mean curvature $f$ on the boundary. The problem is equivalent to finding a positive solution to an elliptic equation with a non-linear boundary condition with critical Sobolev exponent. | |
| dc.description | 8 pages, to appear in Indiana Math. J | |
| dc.identifier | https://arxiv.org/abs/math/0605650 | |
| dc.identifier | http://arxiv.org/abs/math/0605650 | |
| dc.identifier | Indiana Univ. Math. J. 55 (2006), 1449-1460 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131073 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53c21 | |
| dc.title | The zero scalar curvature Yamabe problem on noncompact manifolds with boundary | |
| dc.type | text |