Nodal solutions for a zero-mas Schrödinger-Poisson system

来源:必威西汉姆联发布时间:2026-04-07浏览次数:10

主讲人:李福义 山西大学教授


时间:2026年4月13日10:00


地点:徐汇校区三号楼301室


举办单位:必威西汉姆联


主讲人介绍:李福义,山西大学二级教授,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。教育部高等公司数学类专业教学指导委员会委员。山西省高等公司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。曾任数学科学公司经理,主持国家自然科学基金面上项目4项。获山西省科学技术奖,山西省科技进步奖,山西省教学成果奖等多项重要奖项。


内容介绍:This talk investigates the existence of infinitely many nodal solutions for the following Schr?dinger-Poisson system with zero-mass. By establishing a radial decay inequality in the radial Coulomb space, for any positive integer we demonstrate that the system possesses a radial nodal solution that changes sign exactly times. We also prove that the energy of such solution is an increasing function of In particular, the inequality paves the way for the study of nodal solutions to the Schr?dinger-Poisson-Slater equations. The results presented here were joint work with Cui Zhang.