报告题目：Variational analysis of the planar $L_p$ dual Minkows-ki problem

报告时间：2023年4月6日（周四）15:00

报告地点：景中师范中心

报告人：蒋永生

报告人单位：中南财经政法大学

报告简介：

In this talk, we consider the planar $L_p$ dual Minkowski problem. By studying the nonlinear problems characterizing the planar $L_p$ dual Minkowski problem in Sobolev spaces, several sharp functional inequalities associated with the $L_p$ dual curvature measures are established to generalize the classical inequalities, such as the Wirtinger's inequality and the Blaschke-Santal\'{o} inequality. Based on these new sharp functional inequalities, various existence results for the planar $L_p$ dual Minkowski problem are obtained for integrable data. Compared with the uniqueness results, the non-uniqueness and multiple $\pi-$periodic solutions are also obtained for $p=0$ through variational analysis. This talk is based on the joint works with Prof. Yong Huang, Prof. Zhengping Wang and Prof. Yonghong Wu. 

报告人简介：

蒋永生，中南财经政法大学教授，博士生导师。主要研究方向为偏微分方程，非线性泛函分析及其应用等。研究结果发表在Math. Ann., J. Funct. Anal., Calc. Var. PDE, J. Differential Equations, Sci. China Math.等学术期刊上。 

邀请单位：数学与统计学院