题目：Topics in Variational Methods: Minimizations and Morse theory

1. Lower semi-continuity and minimization with constraints; Lagrange multipliers

2.Concentration-compactness principle; Symmetric criticality principle

3.Nehari method; Ekeland’s variational principle

4. positive and sign-changing solutions in bounded domain problems

5.symmetry and symmetry breaking of positive solutions

6. critical groups; Morse inequality; Morse lemma;

7. Shifting Theorem; three critical point theorem

8.critical group at infinity; multiple solutions for sublinear, superlinear, and asymptotically linear problems;

报告人：王志强教授（犹他州立大学）

时间：5月7,9-16号， 每天 9:00-11:00

地点：正心楼 532

参加人：数学系全体师生