Mastering of the central techniques concerning the direct methods of calculus of Variations and critical point methods. Applications to (systems of) Euler Lagrange Equations ( linear or non linear)
Subject
Euler Lagrange Equations
Variational Integrals
Weak lower semicontinuity
Existence of weak solutions
Minimization with Constraints
Moutain Pass theorem,
Palais Smale conditions
Polyconvexity and non linear elasticity
Criteria for evaluation
exam
Methods
Real and Functionalanalysis
Geometric Measure Theory
Language
German
Study material
Mueller/Pönitz Skriptum Variationsrechnung M. Struwe, Variational Methods L. Evans, PDE.