学术报告

报告人：彭双阶 教授（华中师范大学）

报告时间：2022年1月9日 上午9：00-10：00

报告地点：腾讯会议 ID：881 610 289

报告题目：On the scalar curvature problem with very degenerate prescribed functions

报告摘要：We will talk about a scalar curvature problem. It is known that there are a number of results related to the existence of solutions concentrating at the isolated critical points of the scalar curvature K(x). However, if K(x) has non-isolated critical points with different degenerate rate along different directions, whether there exist solutions concentrating at these points is still an open problem. We give a certain positive answer to this problem via applying a blow-up argument based on local Pohozaev identities and modified finite dimensional reduction method when the dimension of critical point set of K(x) ranges from 1 to N-1.

报告人简介：彭双阶，华中师范大学教授，国务院政府特殊津贴专家、国家杰出青年科学基金获得者，教育部“新世纪优秀人才支持计划”、湖北省重大人才工程“高端人才引领培养计划”入选者。获得过教育部自然科学奖二等奖、湖北省自然科学奖一等奖和国家级教学成果二等奖。彭双阶教授长期从事非线性偏微分方程、非线性泛函分析的研究，担任《Comm.Pure.Appl.Anal.》《Abs.Appl.Anal.》《数学物理学报》（中、英文版）常务编委、《应用数学学报》编委。在Adv. Math., Arch. Ration. Mech. Anal., Comm. PDEs, Tran. Amer. Math. Soc., J. Math. Pure. Appl., J. Funct. Anal.等国际顶尖期刊上发表论文100余篇.