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Geometry and analysis of the first eigenvalue functional

Objetivo

The project is devoted to the study of the first eigenvalue problem for the Laplace operator in geometric settings. The starting ideology is to regard the first eigenvalue as a functional defined on a suitable set of Riemannian metrics, and the main objects of the study are the corresponding extremals. More precisely, the objectives are to study the existence and the properties of extremal metrics. The methods and intuition are both analytic and geometric and involve, for example, the analysis of the concentration phenomenon and the development of the regularity theory. The project is on a quickly developing area which borders with a number of disciplines, and at the moment only isolated results are proved on the rigorous level. Therefore, any progress would be interesting for experts and would advance the researcher greatly towards attaining an independent position.

Convocatoria de propuestas

FP7-PEOPLE-IEF-2008
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Coordinador

UNIVERSITE DE CERGY-PONTOISE
Aportación de la UE
€ 156 712,58
Dirección
BOULEVARD DU PORT 33
95011 Cergy-Pontoise
Francia

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Tipo de actividad
Higher or Secondary Education Establishments
Contacto administrativo
Emmanuel Poirault (Mr.)
Enlaces
Coste total
Sin datos