Two Methods for Finding Multiple Solutions of Semilinear PDEs

报告题目：Two Methods for Finding Multiple Solutions of Semilinear PDEs

报告人：湖南师范大学数学与统计学院院长、“高性能计算与随机信息处理”重点实验室主任，谢资清教授

报告时间：2018年6月24日（星期日）上午 9:00-10:00

报告地点：上海师范大学（徐汇校区）3号楼三楼报告厅（332室）

报告摘要：In this talk, we present two approaches for finding the multiple solutions of semilinear PDEs. The first one is the Normalized Goldstein-type Local Minimax Method (NG-LMM) which is aimed to find multiple minimax-type solutions with variational structures. The second one is the Augmented Partial Newton Method (APNM) which is devoted to find multiple minimax-type solutions of semilinear PDEs no matter whether they are variatioal or not. More significantly, these two approaches are large-scope algorithms. The corresponding theoretical analysis is provided also.