Diff. Geom, Math. Phys., PDE Seminar: Jérôme Vétois

  • Date: 03/06/2018
Jérôme Vétois, McGill

University of British Columbia


Blowing-up solutions for critical elliptic equations on a closed manifold


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.

Other Information: 

Location: ESB 2012
Tue 6 Mar 2018, 3:30pm-4:30pm