Some results on the nonlinear logarithmic Schrodinger equations

发布者:文明办发布时间:2024-10-22浏览次数:85

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.

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