走向现代数学学术报告 - 姬超教授（No. 859)

报告题目：Some results in nonlinear PDEs on lattice graphs

报告时间：2025年11月17日 8:00

报告地点：东海岸校区-D实209

报 告 人：姬超 教授（华东理工大学）

邀 请 人：王大斌、谢华飞

报告摘要：In this talk, we will present some results on nonlinear PDEs on lattice graphs. Specifically, we will explore the existence and multiplicity of solutions to the logarithmic Schrödinger equation with a potential on lattice graphs. Additionally, we will introduce double-phase problems on lattice graphs, where we give some elementary properties of double phase operators and prove some existing results of solutions to double phase problems on lattice graphs. Furthermore, we will highlight some differences between problems on graphs and their continuous counterparts. This work is a joint work with Zhentao He.

报告人简介：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，入选了2024年上海市东方英才计划拨尖项目。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。