報 告 人：李本鳥 博士
報告題目：Infinitely many dichotomous solutions for elliptic problems
報告時間：2023年10月13日（周五）下午14：30-15：30
報告地點：靜遠樓1508學術會議室
主辦單位：數(shù)學與統(tǒng)計學院、數(shù)學研究院、科學技術研究院
報告人簡介：
李本鳥，江西師范大學講師，博士畢業(yè)于澳大利亞新英格蘭大學，之后在澳大利亞新英格蘭大學做博士后研究。主要研究二階橢圓方程解的存在性和唯一性問題，在Ann. Sc.Norm. Super. Pisa Cl. Sci.，Calc. Var. PDE, J. Differential Equations，Comm. Contem. Math, Sci. China Math.等國際知名學術期刊上發(fā)表多篇學術論文。
報告摘要：
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.