Charles Explorer logo
🇬🇧

Nonlinear Functional Analysis 2

Class at Faculty of Mathematics and Physics |
NMMA502

Syllabus

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

Annotation

Recommended for master students of mathematical analysis.

 Content: Mountain pass lemma, topological degree, Leray-Schauder degree, monotone operatorsin a Hilbert space, nonlinear semigroups, bifurcations.