Speaker：Qing Han（University of Notre Dame）

Time：2019-03-15 10:00

Location：Conference Room 108 at Experiment Building at Haiyun Campus

Abstract: We study asymptotic behaviors of positive solutions to the Yamabe equation the sigma-k Yamabe equation near isolated singular points establish expansions up to arbitrary orders. Such results generalize an earlier pioneering work by Caffarelli, Gidas, Spruck, a work by Korevaar, Mazzeo, Pacard, Schoen, on the Yamabe equation, a work by Han, Li, 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.