报告题目：Normalized solutions for Kirchhoff-type transmission problems

报 告 人：梁占平 山西大学 教授

报告时间：2022年6月6日（周一）下午15:00-16:00

报告地点：腾讯会议  会议号：749823756

报告摘要：In this talk, I will present our resent results about the existence of solutions with a prescribed L2 mass to a transmission problem of Kirchhoff-type, which is an interface problem for elliptic operators in bounded domains of R3 and occurs in some physical systems in different connected media. Because of the presence of transmission conditions, we will first introduce a modified Gagliardo-Nirenberg inequality applicable for the Kirchhoff type transmission problem, basing on which the L2 critical exponent is defined. Subsequently, we will be concerned with the existence of normalized solutions no matter the nonlinearity is L2 subcritical, critical, or supercritical. This is a joint work with Xiaoli Zhu and Fuyi Li.

报告人简介：梁占平，山西大学教授，博士导师。在《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》《Calculus of Variations and Partial Differential Equations》《Proceedings of the Royal Society of Edinburgh Section A: Mathematics》《Zeitschrift fur angewandte Mathematik und Physik》《Nonlinear Analysis- Theory methods &Applications》《Journal of Mathematical Analysis and Applications》《中国科学: 数学》等国内外杂志发表学术论文30多篇。主持国家基金面上项目1项，获山西省科学技术奖（自然科学类）奖二等奖1项。指导学生获全国大学生数学建模竞赛国家一等奖1次。