Non UBC
DSpace
Jérôme Vétois
2019-11-06T09:14:12Z
2019-05-09T09:42
In this talk, we will consider the question of existence of positive blowing-up solutions to a class of conformally invariant elliptic equations of second order on a closed Riemannian manifold. A result of Olivier Druet provides necessary conditions for the existence of blowing-up solutions whose energy is a priori bounded. Essentially, these conditions say that for such solutions to exist, the potential function in the limit equation must coincide, up to a constant factor, at least at one point, with the scalar curvature of the manifold and moreover, in low dimensions, the weak limit of the solutions must be identically zero. I will present new existence results showing the optimality of these conditions. I will discuss in particular the case of low dimensions and the important role of the mass of the Green's function in this case. This is a joint work with Fr\'ed\'eric Robert (Universit\'e de Lorraine).
https://circle.library.ubc.ca/rest/handle/2429/72199?expand=metadata
31.0 minutes
video/mp4
Author affiliation: McGill University
Banff (Alta.)
10.14288/1.0385098
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Researcher
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Partial Differential Equations, Differential Geometry
Influence of the scalar curvature and the mass on blowing-up solutions to low-dimensional conformally invariant equations.
Moving Image
http://hdl.handle.net/2429/72199