After successful completion of the course, students are able to prove basic results of geometric measure theory. They are able to derive simple properties of the Hausdorff measure and the perimeter by their definitions and can discuss geometric variational problems.
Geometric measure theory (Hausdorff measures, coarea-formula, Besicovitch theorem, Lebesgue points), isoperimetric problems, Steiner symmetrization.
Working on exercise problems, presentation and discussion in the exercise group
Presentation of exercise problems
