报 告 人:李本鸟 博士
报告题目:Infinitely many dichotomous solutions for elliptic problems
报告时间:2023年10月13日(周五)下午14:30-15:30
报告地点:静远楼1508学术会议室
主办单位:太阳成集团、数学研究院、科学技术研究院
报告人简介:
李本鸟,江西师范大学讲师,博士毕业于澳大利亚新英格兰大学,之后在澳大利亚新英格兰大学做博士后研究。主要研究二阶椭圆方程解的存在性和唯一性问题,在Ann. Sc.Norm. Super. Pisa Cl. Sci.,Calc. Var. PDE, J. Differential Equations,Comm. Contem. Math, Sci. China Math.等国际知名学术期刊上发表多篇学术论文。
报告摘要:
In this talk, I will introduce some results about the Schr\odinger-Newton equation. Here, we demonstrate an interesting phenomenon, which we call dichotomy, for concentrating solutions of the above Schr\odinger-Newton equation. More specifically, we show the existence of infinitely many concentrating solutions which concentrate both in a bounded domain and near infinity. In addition, the non-degeneracy of the ground state is established for the above Schr\odinger-Newton equation with non-constant potentials.