变分法理论及其应用研究系列报告

报告题目：Estimates of bubbling solutions of SU(3) Toda systems at critical parameters

主讲人：武丽娜 （北京交通大学）

报告时间：6月13日（周四）16：00-17：00

报告地点：腾讯会议：499-752-729

主办单位：数学科学学院

摘要：In this talk we will mention bubbling solutions of regular SU(3) Toda systems defined on a Riemann surface. There are two major difficulties corresponding to the profile of bubbling solutions: partial blowup phenomenon and bubble accumulation. We prove that when both parameters tend to critical positions, if there is one fully bubbling blowup point, then under one curvature assumption, all the blowup solutions near a blowup point satisfy a spherical Harnack inequality, which completely rules out the bubble-accumulation phenomenon. This fact is crucial for a number of applications.

报告人简介：

武丽娜，博士毕业于清华大学，曾到佛罗里达大学数学系进行访问学习，2021年7月起在北京交通大学数学与统计学院工作，研究方向为非线性偏微分方程。在《J. Funct. Anal.》、《SIAM J. Math. Anal.》《Proc. Amer. Math. Soc.》等刊物发表多篇学术论文，主持国家自然科学基金青年基金等项目。