Existence and multiplicity of normalized solutions to a large class of elliptic equations on bounded domains with general boundary conditions

主讲人：姬超 华东理工大学教授

时间：2025年11月14日15：00

地点：三号楼115室

举办单位：数理学院

主讲人介绍：姬超，华东理工大学数学学院教授，博士生导师，上海市工业与应用数学学会理事。他的研究方向是非线性偏微分方程，变分和拓扑方法，在Sci. China Math., J. Math. Pures Appl., IMRN, JLMS， Israel J. Math., J. Anal. Math.，CVPDE和 JDE等SCI刊物上发表论文60多篇。主持国家自然科学基金面上项目两项，现为《Math. Methods Appl. Sci.》和《Discrete Contin. Dyn. Syst. Ser. S》等多个国际刊物编委。

内容介绍：In this talk, we will present some recent results on the existence and multiplicity of normalized solutions for the nonlinear Schrodinger equation on smooth bounded domains.
Moreover, we highlight several further applications of our approach, including the nonlinear Schrodinger equations with critical exponential growth in bounded domains of R2, the nonlinear Schrodinger equations with magnetic fields, the biharmonic equations, and the Choquard equations. This work is a joint work with Claudianor O. Alves and Zhentao He.