| 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 |