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)

 Some results on the nonlinear  logarithmic  Schrodinger equations  

  2022.12.07(星期三)20:00-21:00

 点:腾讯会议 481-556-548 

  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.

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