Université Paris-Est Université Paris-Est - Marne-la-Vallée Université Paris-Est - Créteil Val-de-Marne Centre National de la Recherche Scientifique

Classical Plateau problem in non-classical spaces

Site: 
Date: 
07/12/2015 - 13:30 - 14:30
Salle: 
2018
Orateur: 
LYTCHAK Alexander
Localisation: 
Université de Cologne
Localisation: 
Allemagne
Résumé: 

The question of Plateau concerns the existences soap films: objects of minimial area spanning a given curve in the Euclidean spaces. The most classical answer to this question has been provided by Rado and Douglas and proves the existence of parametrized discs of minimal area spanning an arbitrary Jordan curve. The result was generalized by Morrey to Riemannian manifolds. In the talk I will discuss a solution of the Plateau problem in arbitrary metric spaces, regularity of the solutions and some applications to isoperimetric problems.