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扬州大学数学科学学院学术报告2021-16

报告题目:Conformal scalar curvature equation on Sn: Functions with twin pseudo-peaks

报告简介:Conformal scalar curvature equation on Sn: Functions with twin pseudo-peaks In this talk we present existence result for the conformal scalar curvature equation on Sn with n≥3. Our result is based on the Lyapunov-Schmidt reduction method without perturbation and the construction of the prescribed function (after being projected to Rn) 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.

报告人:周峰,山东师范大学

报告时间:2021年3月20日(星期六)下午15:40

腾讯会议ID:567 765 321

会议密码:123456

主办单位:扬州大学数学科学学院

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