Asymptotic Behaviors of Solutions of the Yamabe Equation near Isolated Singular Points
报告题目(Title)：Asymptotic Behaviors of Solutions of the Yamabe Equation near Isolated Singular Points
报告人(Speaker)：韩青
地点(Place)：后主楼1129
时间(Time)：7月7日，10：00—11：50，7月7日，8日，9日，14：00—15：50
邀请人(Inviter)：熊金钢
报告摘要
We study asymptotic behaviors of positive solutions to the 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. The proof is based on a study of the linearized operators at radial solutions, following an approach adopted by Korevaar et al. We also discuss the existence of solutions with prescribed asymptotics.
