Stability and Instability for Einstein-Scalar Field Lichnerowicz Equations

 GEOMETRIC PDE SEMINAR Topic: Stability and Instability for Einstein-Scalar Field Lichnerowicz Equations Speaker: Emmanuel Hebey Affiliation: Universite de Cergy-Pontoise, France Date: Thursday, October 23 Time/Room: 1:30pm - 3:30pm/S-101

We discuss Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds from the viewpoint of existence results and stability issues. We prove that the Einstein-scalar field Lichnerowicz equation is stable when $n \le 5$, and instable when $n \ge 6$.