报告人：蒋永生(中南财经政法大学)

邀请人：张宁

报告时间：2023年2月19日（星期日）10:30-12:00

报告地点：欣苑一栋119室

报告题目：Variational analysis of the planar dual Minkowski problem

报告摘要：In this talk, we consider the planar dual Minkowski problem. By studying the nonlinear problems characterizing the planar dual Minkowski problem in Sobolev spaces, several sharp functional inequalities associated with the dual curvature measures are established to generalize the classical inequalities, such as the Wirtinger's inequality and the Blaschke-Santalo inequality. Based on these new sharp functional inequalities, various existence results for the planar dual Minkowski problem are obtained for integrable data. Compared with the uniqueness results, the non-uniqueness and multiple periodic solutions are also obtained for 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。研究方向为偏微分方程和非线性泛函分析及其应用。先后获得4项国家自然科学基金项目和1项湖北省自然科学基金项目的资助。研究成果发表在Journal of Function Analysis, Calculus of Variations and Partial Differential Equations，Journal of Differential Equations, Commun.Contemp. Math.,中国科学，数学物理学报等学术期刊上。