Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	姬超副教授,华东理工大学
Inviter:	张志涛
Title:	Some results on the nonlinear logarithmic Schrodinger equations
Language:	Chinese
Time & Venue:	2022.12.07 20:00-21:00 腾讯会议：481-556-548
Abstract:	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.