Singular solutions of the Yamabe equation

报告人:韩青  北京大学   美国圣母大学

时间:2017.4.19     14:30-15:20


题目:Singular solutions of the Yamabe equation

摘要:In a classical paper, Cafferelli, Gidas and Spruck discussed positive solutions of the Yamabe equation, corresponding to the positive scalar curvature of the conformal metrics, with a nonremovable isolated singularity. They proved that solutions are asymptotic to radial singular solutions. Korevaar, Mazzeo, Pacard, and Schoen expanded solutions to the next order. In this talk, we discuss how to expand solutions up to arbitrary order.