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 NonLocal Elliptic Equations

Room 200, Graduate Student Centre, UBC
Mon 25 Jun 2018, 9:00am11:00am
Details
Abstract:
Using variational and gluing techniques, we construct solutions to local and nonlocal 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.
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Latecomers will not be admitted.