Cel 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. Dziedzina nauki natural sciencesmathematicspure mathematicsgeometrysocial sciencessociologyideologies Słowa kluczowe Geometry Laplace operator Mathematical analysis first eigenvalue Program(-y) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Temat(-y) FP7-PEOPLE-IEF-2008 - Marie Curie Action: "Intra-European Fellowships for Career Development" Zaproszenie do składania wniosków FP7-PEOPLE-IEF-2008 Zobacz inne projekty w ramach tego zaproszenia System finansowania MC-IEF - Intra-European Fellowships (IEF) Koordynator UNIVERSITE DE CERGY-PONTOISE Wkład UE € 156 712,58 Adres BOULEVARD DU PORT 33 95011 Cergy-Pontoise Francja Zobacz na mapie Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Emmanuel Poirault (Mr.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych
