非线性对数薛定谔方程的一些最新结果



活动地点:腾讯会议

活动时间:2022-09-20 09:00:00

报告题目 (Title):非线性对数薛定谔方程的一些最新结果(Some recent results on the nonlinear logarithmic Schrodinger equations)

报告人 (Speaker): 姬超 副教授 (华东理工大学)

报告时间 (Time):2022年9月20日(周二)9:00

报告地点 (Place):腾讯会议 (ID: 345-329-762 会议密码:6789)

邀请人(Inviter):朱佩成

主办部门:理vn99威尼斯人手机版数学系

报告摘要:

In this talk, we are concerned with the nonlinear logaritimic 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 Professor Claudianor O. Alves from Brazil.

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