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

发布日期:2019-03-07点击数:

报告人:韩 青(北京大学)


 :2019年3月11日  15:30--17:30


 :理科楼 LA106


 : 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. 


报告人简介:韩青,北京大学教授


学院联系人:黄小军 陈天聪


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重庆大学数学与统计学院的前身是始建于1929年的重庆大学理学院和1937年建立的重庆大学商学院,理学院是重庆大学最早设立的三个学院之一,首任院长为数学家何鲁先生。