Some results on the nonlinear logarithmic Schrodinger equations

主讲人：姬超 华东理工大学教授

时间：2024年10月31日10：30

地点：数理学院三号楼332室

举办单位：数理学院

主讲人介绍：姬超，华东理工大学教授，博士生导师，上海市工业与应用数学学会理事。他的研究方向是非线性偏微分方程，变分和拓扑方法，在包括 Sci. China Math., Israel J. Math., J. Anal. Math.，IMRN, CVPDE, JLMS., JDE, JGA，DCDS等SCI刊物上发表论文近60篇。现主持国家自然科学基金面上项目一项，现为《Math. Methods Appl. Sci.》和《Discrete Contin. Dyn. Syst. Ser. S》等多个国际刊物编委。

内容介绍：In this talk, we are concerned with the nonlinear logarithmic Schrodinger equations. First, we present some results on the existence, multiplicity, and concentration for a logarithmic Schrodinger equation. Next, we explore the existence of multiple normalized solutions to the logarithmic Schrodinger equation via the minimization techniques and the Lusternik-Schnirelmann category. Finally, we introduce the existence and multiplicity of solutions for the logarithmic Schrodinger equation with a potential on lattice graphs, and provide some differences between graph problems and continuous problems. This talk is based on some work with Claudianor O. Alves and Zhentao He.