中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
几何分析研讨班
Speaker: 王哲辉 助理教授（大湾区大学）
Inviter: 杨明轩
Language: 中文
Title: Solutions of the singular Yamabe problem near singular boundaries
Time & Venue：2026年08月17日上午 10:15-11:15 ZoomID：955-801-758
Abstract: In this talk, we study the asymptotic behaviors of solutions to the singular Yamabe problem with negative constant scalar curvature near singular boundaries. Specifically, we demonstrate that for a wide class of Lipschitz domains with asymptotic conical structure, the local positive solutions are well approximated by the positive solutions in the tangent cones at singular boundary points. This is a joint work with Weiming Shen and Jiongduo Xie.