Mathematics Seminar: Existence Results for the Higher Order Q-Curvature Equation
Saikat Mazumdar, Dept of Mathematics, IIT Bombay
| Speaker |
Saikat Mazumdar, Dept of Mathematics, IIT Bombay
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|---|---|
| When |
Nov 07, 2022
from 04:00 PM to 05:00 PM |
| Where | Auditorium, Ground Floor, TIFR CAM |
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Abstract: In this talk, we will obtain some existence results for the Q-curvature equation of arbitrary 2k-th order, where k ≥ 1 is an integer, on a compact Riemannian manifold of dimension n ≥ 2k + 1. This amounts to solving a nonlinear elliptic PDE involving the powers of Laplacian called the GJMS operator. The difficulty in determining the explicit form of this GJMS operator together with a lack of maximum principle complicates the issues of existence. This is a joint work with Jérôme Vétois (McGill University).