Diff. Geom, Math. Phys., PDE Seminar: Jérôme Vétois
Topic
Blowing-up solutions for critical elliptic equations on a closed manifold
Speakers
Details
In this talk, we will look at the question of existence of blowing-up solutions for smooth perturbations of energy-critical elliptic nonlinear Schrödinger equations on a closed manifold. From a result of Olivier Druet, we know that in dimensions different from 3 and 6, a necessary condition for the existence of blowing-up solutions with bounded energy is that the linear part of the limit equation agrees with the conformal Laplacian at least at one blow-up point. I will present new existence results in situations where the limit equation is different from the Yamabe equation away from the blow-up point. I will also discuss the special role played by the dimension 6. This is a joint work with Frederic Robert.
Additional Information
Location: ESB 2012
Tue 6 Mar 2018, 3:30pm-4:30pm
Jérôme Vétois, McGill
This is a Past Event
Event Type
Scientific, Seminar
Date
March 6, 2018
Time
-
Location