Geometry and analysis of the first eigenvalue functional
(GAFEF)
Start date: Nov 1, 2009,
End date: Oct 31, 2011
PROJECT
FINISHED
"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."
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Coordinator
UNIVERSITE DE CERGY-PONTOISE
€ 156 712,58- Emmanuel Poirault
- BOULEVARD DU PORT 33 95011 Cergy-Pontoise (France)
Details
- 100% € 156 712,58
-
FP7-PEOPLE
- Project on CORDIS Platform