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...

Full description

Autores:
García, Gonzalo
Muñoz, Jhovanny
Tipo de recurso:
Article of journal
Fecha de publicación:
2010
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
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/
Palabra clave:
Uniqueness
Conformal metrics
Curvature
53A30
53C21
58J32
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary: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.