On the Dirichlet problem for p-harmonic maps

Event details
Date | 11.03.2014 |
Hour | 16:15 › 17:15 |
Speaker | Giona Veronelli |
Location | |
Category | Conferences - Seminars |
Geometry and Dynamics Seminar
Abstract: We will deal with the Dirichlet problem for p-harmonic maps between Riemannian manifolds. After introducing the setting, we will discuss some techniques permitting to solve the problem either when the target is compact and negatively curved or when the image is contained in a geodesic ball. The proof for compact targets uses some ideas of White to define the relative d-homotopy type of Sobolev maps, and the regularity theory by Hardt and Lin. In case of maps into a geodesic ball, some approaches of different nature will be presented. This is a joint work with Stefano Pigola.
Abstract: We will deal with the Dirichlet problem for p-harmonic maps between Riemannian manifolds. After introducing the setting, we will discuss some techniques permitting to solve the problem either when the target is compact and negatively curved or when the image is contained in a geodesic ball. The proof for compact targets uses some ideas of White to define the relative d-homotopy type of Sobolev maps, and the regularity theory by Hardt and Lin. In case of maps into a geodesic ball, some approaches of different nature will be presented. This is a joint work with Stefano Pigola.
Practical information
- Expert
- Free
Organizer
- Martins Bruveris
Contact
- martins.bruveris@epfl.ch