学术报告：Asymptotic Expansions of Solutions of the Yamabe Equation and the sigma-k Yamabe Equation near Isolated Singular Points

：Qing Han教授
：2019-03-15 10:00
：实验楼105

报告人：Qing Han教授

        University of Notre Dame

题目: Asymptotic Expansions of Solutions of the Yamabe Equation the sigma-k Yamabe Equation near Isolated Singular Points

时间：2019年3月15日10:00-11:00

地点：实验楼105

摘要:

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.

 

报告人简介：

韩青, 国际著名的偏微分方程和几何分析专家，美国圣母大学（University of Notre Dame）教授。