偏微分方程新进展小型研讨会
报告题目一： On sharp discrete Hardy-Rellich inequalities
报告人： 黄侠 副教授（华东师范大学）
摘要：Although the history of Hardy inequalities found its origin somehow in the discrete setting, the discrete Hardy-Rellich inequalities are much less understood comparing to the continuous situation. We will show discrete Hardy-Rellich inequalities on 
with 
and optimal constants, for any 
. Our approach is to establish some sharp first order Hardy inequalities using weighted equality, and then to handle the higher order cases by iteration. We provide also a first order Leray type inequality on 
with the same constants as the continuous setting. The main idea to get weighted equalities works also for general graphs. This is a joint work with Professor Dong Ye at ECNU.
报告题目二：Super polyharmonic property and asymptotic behavior of solutions to the higher order Hardy-Henon equation near isolated singularities
报告人： 李圆 博士（华东师范大学）
摘要：
报告时间：2023年10月26日（周四） 上午 9：30-11：30
报告地点：数学学院425报告厅
邀请人：徐露
