$C^0$ Estimates for Conformally Invariant Equations on Locally Conformally Flat Manifolds with Umbilic Boundary

GEOMETRIC PDE SEMINAR
Topic:	$C^0$ Estimates for Conformally Invariant Equations on Locally Conformally Flat Manifolds with Umbilic Boundary
Speaker:	Hoai-Minh Nguyen
Affiliation:	Member, School of Mathematics
Date:	Tuesday, February 10
Time/Room:	3:30pm - 4:30pm/S-101

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In recent years, fully nonlinear versions of the Yamabe problem have received much attention. In particular, for manifolds with boundary, $C^1$ and $C^2$a priori estimates have been proved for a large class of data. To get an existence result, it is
important to establish a C0 bound. I will describe my joint work with Yanyan Li in this direction for locally conformally flat manifolds with umbilic boundary.