Graduate Geometry Seminar - Special Lecture

Speaker: 
Qing Han, University of Notre Dame
Topic: 
"Asymptotic Expansions of Solutions of the Yamabe Equation and the $\sigma-k$ Yamabe Equation near Isolated Singular Points"

Abstract:
We study asymptotic behaviors of positive solutions to the Yamabe equation and the $\sigma-k$ Yamabe equation near isolated singular points and establish expansions up to arbitrary orders. Such results generalize an earlier pioneering work by Caffarelli, Gidas, and Spruck, and a work by Korevaar, Mazzeo, Pacard, and Schoen, on the Yamabe equation, and a work by Han, Li, and Teixeira on the $\sigma-k$ Yamabe equation. The proof is based on a study of the linearized operators at radial solutions, following an approach adopted by Korevaar et al.

Event Date: 
April 12, 2019 - 3:30pm to 4:30pm
Location: 
B13
Calendar Category: 
Seminar