【学术活动预告】On Positive Solutions of Biharmonic Elliptic Inequalities on Riemannian Manifolds
报告人:孙玉华教授
报告时间:2024年9月18日15:00-16:00
报告地点:东校区3201
报告摘要:We investigate the existence and nonexistence of positive solutions to biharmonic elliptic inequalities on different domains of manifolds, including exterior domains and whole spaces.
Using Green function and volume growth conditions, we establish the critical exponent for the existence and nonexistence of positive solutions to such biharmonic problem. This is talk based on joint work with Yadong Zheng.
报告人简介:
孙玉华,南开大学数学学院教授,博士生导师,研究方向为黎曼流形及图上的分析,包括椭圆及抛物方程,在包括CPAM,JFA,Math. Annalen, JAM,CVPDE等著名期刊发表学术论文20余篇。入选南开大学百名青年学科带头人,曾获得天津市数学会与统计学联合学术年会“青年学者奖”,南开大学尚格奖教金等荣誉。目前主持国家自然科学基金面上项目一项。