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1月20日上午10:10-10:50 腾迅会议 姬超 Some results on the nonlinear logarithmic Schrodinger equations

报告题目:Some results on the nonlinear logarithmic Schrodinger equations

 

报告时间:1月20日上午10:10-10:50

 

报告地点:腾迅会议 ID: 296 241 702

 

报告人:姬超 副教授 华东理工大学

 

 

报告人简介:

姬超,华东理工大学副教授。2009年博士毕业于兰州大学,先后在瑞典斯德哥尔摩大学和天津大学做了两站博后。他的研究兴趣主要包括对数薛定谔方程,带磁场的非线性薛定谔方程和具变指数增长的非线性椭圆方程等。已在包括 Int. Math. Res. Not., Calc. Var. Partial Differential Equations, Sci. China Math., J. London Math. Soc. Israel J. Math. 等重要期刊上发表SCI论文38篇。

 

报告摘要:

In this thalk, we are concerned with the nonlinear logaritimic Schrodinger equations. When the potential satisfes a global assumption, we give the multiple solutions. For the logarithmic Schrodinger equation with saddle-like potential, we give the existence of positive solutions. When the potential satisfies a local assumption, we consider the existence and concentration of positive solutions. Finally, based on some new estimates from previous research, the multi-bump solutions are obtained  for a logarithmic Schrodinger equation with deepening potential well. This is a joint work with professor Claudianor O. Alves.