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 |