1. Weak convergence in L_1 characterization, biting lemma
2. Problems convex in the last variable
3. Generalized convexity (briefly) rank-1 convexity, polyconvexity, kvaziconvexity
4. Mountain pass lemma Ekeland variational principle, Palais-Smale condition
5. Nonlinear semigroup
6. Bifurcation Crandall-Rabinowitz theorem, bifurcation from the point of spectrum with odd multiplicity, variational problem and bifurcation from the point of a spectrum with even multiplicity
Recommended for master students of mathematical analysis.
Content: Mountain pass lemma, topological degree, Leray-Schauder degree, monotone operatorsin a Hilbert space, nonlinear semigroups, bifurcations.