The Loewner-Nirenberg problem in singular domains
Time: 2019-02-21
Published By: Ying Hao
Speaker(s): Weiming Shen
Time: 10:00-11:00 February 28, 2019
Venue: Room 9, Quan Zhai, BICMR
Abstract: We study asymptotic behaviors of solutions of the Loewner-Nirenberg problem in singular domains and prove that the solutions are well approximated by the corresponding solutions in tangent cones at singular points on the boundary. The conformal structure of the underlying equation plays an essential role in the derivation of the optimal estimates.