主講人：姬超 華東理工大學(xué)教授
時間：2024年10月31日10：30
地點：數(shù)理學(xué)院三號樓332室
舉辦單位：數(shù)理學(xué)院
主講人介紹：姬超，華東理工大學(xué)教授，博士生導(dǎo)師，上海市工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會理事。他的研究方向是非線性偏微分方程，變分和拓?fù)浞椒ǎ诎?Sci. China Math., Israel J. Math., J. Anal. Math.，IMRN, CVPDE, JLMS., JDE, JGA，DCDS等SCI刊物上發(fā)表論文近60篇。現(xiàn)主持國家自然科學(xué)基金面上項目一項，現(xiàn)為《Math. Methods Appl. Sci.》和《Discrete Contin. Dyn. Syst. Ser. S》等多個國際刊物編委。
內(nèi)容介紹：In this talk, we are concerned with the nonlinear logarithmic Schrodinger equations. First, we present some results on the existence, multiplicity, and concentration for a logarithmic Schrodinger equation. Next, we explore the existence of multiple normalized solutions to the logarithmic Schrodinger equation via the minimization techniques and the Lusternik-Schnirelmann category. Finally, we introduce the existence and multiplicity of solutions for the logarithmic Schrodinger equation with a potential on lattice graphs, and provide some differences between graph problems and continuous problems. This talk is based on some work with Claudianor O. Alves and Zhentao He.