Uniqueness of conformal metrics with prescribed scalar and mean curvatures on compact manifolds with boundary
Departamento de Matemáticas, Universidad del Valle, Calle 13 No. 100 - 00, Cali, ColombiaLet $(M^n, g)$ be a compact manifold with boundary and $n \geq 2$. In this paper we prove the variational characterization of the Neumann eigen\-values of an elliptic operator associated to the problem of confor...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | Colombia |
| Institución: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/39773 |
| Acceso en línea: | https://repositorio.unal.edu.co/handle/unal/39773 http://bdigital.unal.edu.co/29870/ |
| Access Level: | acceso abierto |
| Palabra clave: | Uniqueness Conformal metrics Curvature 53A30 53C21 58J32 |
| Sumario: | Departamento de Matemáticas, Universidad del Valle, Calle 13 No. 100 - 00, Cali, ColombiaLet $(M^n, g)$ be a compact manifold with boundary and $n \geq 2$. In this paper we prove the variational characterization of the Neumann eigen\-values of an elliptic operator associated to the problem of conformal deformation of metrics and we study the uniqueness of metrics in the conformal class of the metric $g$ having the same scalar curvature of the manifold and the same mean curvature of its boundary. |
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