Mathematics Dept.
  Events
Ph.D. Candidate: Hon To Hardy Chan
Mathematics, UBC
Mon 25 Jun 2018, 9:00am SPECIAL
Room 200, Graduate Student Centre, UBC
Ph.D. Exam: New Solutions to Local and Non-Local Elliptic Equations
Room 200, Graduate Student Centre, UBC
Mon 25 Jun 2018, 9:00am-11:00am

Details

Abstract:

Using variational and gluing techniques, we construct solutions to local and non-local semilinear elliptic equations. The new fractional elliptic gluing method can be used to obtain a counterexample for the fractional De Giorgi conjecture for ½<s<1. Singular solutions to the fractional Yamabe problem are constructed. We also establish the necessary condition for the existence of solutions for the linearly perturbed nonlinear Schrödinger equation in the hyperbolic space.

Note for Attendees

Latecomers will not be admitted.
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