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甬江数学讲坛260讲(2022年第44讲)
2022-06-28 08:54     (点击:)

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

报告人:姬超 (华东理工大学)

会议时间:2022/7/1 10:00开始

会议地点:腾讯会议,会议号:858-878-688

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.

报告人简介:姬超,华东理工大学副教授,2009年于兰州大学获得博士学位,师从范先令教授。他的研究方向是非线性偏微分方程,变分和拓扑方法,在包括 Sci. China Math., Int. Math. Res. Not., Israel J. Math., Calc. Var. Partial Differential Equations, J. Lond. Math. Soc., J. Differential Equations, J. Geom. Anal.Discrete and Contin. Dyn. Syst.等知名刊物上发表SCI论文50篇。现主持国家自然科学基金面上项目和上海市自然科学基金各一项,现为《Math. Methods Appl. Sci.Discrete Contin. Dyn. Syst. Ser. S》等多个国际刊物编委。


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