报告题目：Conformal scalar curvature equation on S^n: Functions with twin pseudo-peaks

主 讲 人：周峰 教授 （山东师范大学）

报告时间：2024年10月21日 15:00-16:00

报告地点：腾讯会议：631 144 075

报告摘要：In this talk we present existence result for the conformal scalar curvature equation on $S^n$ with $n\geq 3$. Our result is based on the Lyapunov-Schmidt reduction method without perturbation and the construction of the prescribed function (after being projected to $R^n$) with twin pseudo-peaks in the sense that the two close critical points have the same positive value, equal flatness, and exhibit maximal behavior in certain directions. The process relies on a balance between the two main contributions to the reduced functional, one from the critical points and the other from the interaction of the two bubbles. This is a joint work with Professor Man Chun LEUNG.

主讲人简介：周峰，山东师范大学数学与统计学院教授、硕士生导师，山东省青年联合会委员。获全国五一劳动奖章、山东省新时代岗位建功劳动竞赛标兵个人、第六届全国高校青年教师教学竞赛理科组一等奖第一名、山东省第九届高校青年教师教学比赛一等奖，主持国家自然科学基金、山东省自然科学基金各一项，获山东省师范类高校学生从业技能大赛、全国“田家炳杯”教育硕士研究生教学技能大赛优秀指导教师。