Compactness and existence results of the prescribing fractional Q-curvature problem
报告人：唐仲伟
报告地点：数学与统计学院二楼会议室
报告时间：2023年11月18日星期六10:00-11:00
邀请人：冀书关、常小军
报告摘要：
In this talk, I will present some results of the prescribing fractional Q-curvature problem, we are devoted to establishing the compactness and existence results of the solutions to the prescribing fractional Q-curvature problem of order on n-dimensional standard sphere when , , .The compactness results are novel and optimal. In addition, we prove a degree-counting formula of all solutions to achieve the existence. From our results, we can know where blow up occur. Furthermore, the sequence of solutions that blow up precisely at any finite distinct location can be constructed. It is worth noting that our results include the case of multiple harmonic. This is a joint work with Dr. Yan Li and Ning Zhou.
主讲人简介：
唐仲伟，男，1976年生，教授，博士生导师，现担任北京师范大学数学科学学院党委书记、教学指导委员会主任。2004年在中国科学院数学与系统科学研究院应用数学所获得博士学位， 2007年9月—2009年9月受德国洪堡基金会资助在德国吉森大学做洪堡学者，自2004年8月起在北京师范大学数学科学学院工作。主要研究领域为偏微分方程及非线性分析，在IMRN,Nonlinearity, Calc. Var. Partial Differential Equations, J. Differential Equations，Pacific J. Math.等期刊上发表SCI论文60余篇，主持国家自然科学基金6项。
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