标题: Solutions of the singular Yamabe problem near singular boundaries
摘要: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.
主讲人简介:王哲辉,大湾区大学助理教授。研究方向为几何偏微分方程,相关论文发表于J. Reine Angew. Math.,Ann. I. H. Poincaré C-AN,Sci. China Math.,J. Funct. Anal.等期刊。现主持国自然青年基金和广东省粤莞联合基金,曾获中国博士后面上资助和中国科学院特别研究助理资助。
邀请人:蒋国盛 新葡的京集团35222vip助理研究员
时间:2026年8月10日上午 10:00-11:00
报告地点:知新楼B座1032