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.和 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.