Analysis Seminar

Boundary Expansions for the Loewner-Nirenberg Problem

Speaker: Qing Han, University of Notre Dame

Location: Warren Weaver Hall 1302

Date: Thursday, October 8, 2015, 11 a.m.


Loewner and Nirenberg discussed complete metrics conformal to the Euclidean metric and with a constant scalar curvature in bounded domains in the Euclidean space. The conformal factors blow up on boundary. In this talk, we discuss the optimal boundary expansions for the conformal factors in the context of the finite regularity. We also discuss the convergence of such expansions.