报告专家:李福义教授(山西大学)
报告题目:Some conclusions on Kirchhoff-type transmission problems
报告地点:腾讯会议:178 296 587
报告时间:12月8日 16:30-17:30
报告简介:In this talk, I will present our resent results on a class of Kirchhoff-type transmission problems. Transmission problems arise in several applications of physics and biology. This lecture is first concerned with the existence of ground state solutions when the nonlinearity is Sobolev critical. To recover the compactness, a perturbation method instead of verifying that the mountain pass level is lower than the critical energy is used. Sequently, normalized solutions of a transmission problem of Kirchhoff-type will be talked. On this aspect, we achieve the existence of normalized solutions no matter whether the nonlinearity is L^2 subcritical, critical, or supercritical. This is a joint work with Zhanping Liang, Xiaoli Zhu, and Ying Zhang.
专家个人简介:李福义,二级教授,博士生导师。山西省教学名师,山西省优秀科技工作者。山西省数学会副理事长,山西省工业与应用数学学会副理事长。2018–2022年教育部高等学校数学类专业教学指导委员会委员。山西省高等学校教学指导委员会数学类专业教学指导委员会(含公共课教学)副主任委员。入选2018年度山西省“三晋英才”支持计划拔尖骨干人才。从事非线性泛函分析,非线性微分方程研究。