中科院数学与系统科学研究院
数学研究所
学术报告
非线性分析研讨班
报告人： 刘勇 教授（中国科学技术大学）
题 目： Entire solutions of the magnetic Ginzburg-Landau equation in R^4
时 间：2022.01.07（星期五），10:30-11:30
地 点：数学院南楼N213
摘 要：We construct entire solutions of the magnetic Ginzburg-Landau equations in dimension 4 using Lyapunov-Schmidt reduction. The zero set of these solutions are close to the minimal submanifolds studied by Arezzo-Pacard. We also show the existence of a saddle type solution to the equation, whose zero set consists of two vertical planes in R^4. These two types of solutions are believed to be energy minimizers of the corresponding energy functional and lie in the same connect component of the moduli space of entire solutions.