中科院数学与系统科学研究院

数学研究所

学术报告

非线性分析研讨班

报告人：姬超副教授（华东理工大学）

题  目：Some results on the nonlinear  logarithmic  Schrodinger equations  

时  间：2022.12.07（星期三）20:00-21:00

地  点：腾讯会议 481-556-548 

摘  要：In this talk, we are concerned with the nonlinear logarithmic Schrodinger equations. When the potential satisfies a global assumption, we give the multiple solutions. When the potential satisfies a local assumption, due to del Pino and Felmer, we consider the existence and concentration of positive solutions. Then, based on some new estimates from previous research, the multi-bump solutions are obtained for a logarithmic Schrodinger equation with deepening potential well. Finally, we shall show the multiplicity of multi-peak positive solutions for the logarithmic Schrodinger equation with a multi-well potential. This is a joint work with Prof. C.O. Alves from Brazil.