课程题目：The nonlinear p-curl-curl problem (1-10)

报告人：Jarosław Mederski 教授

所在单位：Institute of Mathematics, Polish Academy of Sciences

报告时间：2026年2月7日 13:00-14:30 (lesson 1-2)

2026年2月7日 14:40-16:10 (lesson 3-4）

2026年2月7日 16:20-17:50 (lesson 5-6)

 2026年2月8日 8:00-9:30（lesson 7-8）

 2026年2月8日 9:40-11:10 (lesson 9-10)

报告地点：正新楼311

联系方式：[email protected]

课程摘要：

Nonlinear curl-curl problems have recently emerged in the study of exact electromagnetic wave propagation in nonlinear media modeled by Maxwell’s equations. For example, the quintic effect leads to a critical partial differential equation involving the curl-curl operator. Ground state solutions of this problem are related to the optimizers of a new Sobolev-type inequality. We present recent results concerning the existence of ground state solutions and discuss certain symmetry properties of the problem. Applications to zero modes of the Dirac equations will also be considered. This is a joint work with Andrzej Szulkin.

报告人简介：

Jarosław Mederski，波兰科学院教授，主要从事偏微分方程的研究，特别是与薛定谔方程和非线性场方程相关的变分方法。