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：太阳集团官方网站入口、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.