FACHGEB

Zusammenfassung
Presents the basic tools of critical point theory such as minimization, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods, Lusternik- Schirelmann theory for Z2 and S1 symmetries, Morse theory for possibly degenerate critical points and non-degenerate critical manifolds.

Inhalt
1 The Direct Method of the Calculus of Variations.- 2 The Fenchel Transform and Duality.- 3 Minimization of the Dual Action.- 4 Minimax Theorems for Indefinite Functional.- 5 A Borsuk-Ulam Theorem and Index Theories.- 6 Lusternik-Schnirelman Theory and Multiple Periodic Solutions with Fixed Energy.- 7 Morse-Ekeland Index and Multiple Periodic Solutions with Fixed Period.- 8 Morse Theory.- 9 Applications of Morse Theory to Second Order Systems.- 10 Nondegenerate Critical Manifolds.