应甘肃省数学与统计学基础学科研究中心和皇冠正规娱乐平台邀请，北京师范大学唐仲伟教授将来中心访问并作学术报告。
报告题目：Some existence and compactness results related to prescribed fractional Q-curvatures problems
报告摘要：In this talk，I present some results about the compactness and existence results of the solutions to the prescribing fractional Q-curvature problem. At first, we consider the fractional order is 2σon n-dimensional standard sphere when n− 2σ= 2, σ= 1 + m/2, m∈ N+. The compactness results are novel and optimal. In addition, we proved 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. Secondly, by combining critical points at infinity approach with Morse theory we obtain new existence results under suitable pinching conditions. This is a joint work with Dr. Yan Li and Ning Zhou.
报告时间：2024年9月29日10:30
报告地点：致勤楼D07学术报告厅
邀请人：刘建成教授
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报告人简介
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。1994.9-2001.7先后在西北师范大学数学系（现皇冠正规娱乐平台）获得学士和硕士学位，2004年7月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后到北京师范大学工作至今， 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。主要研究领域为偏微分方程及非线性分析，在IMRN,JFA,Nonlinearity, Calc. Var. Partial Differential Equations, J. Differential Equations，Pacific J. Math.等期刊上发表SCI论文70余篇，主持国家自然科学基金7项。
甘肃省数学与统计学基础学科研究中心
皇冠正规娱乐平台
2024年9月28日
