I will present a direct approach to solve the the Plateau problem. The problem is formulated as the minimization of the Hausdorff measure among a family of d-rectifiable closed subsets of $R^n$: the existence result is obtained by a compactness principle valid under fairly general assumptions on the class of competitors. Such class is then specified to give meaning to boundary conditions. I will also show that the obtained minimizers are regular up to a set of dimension less than (d-1). http://cvgmt.sns.it/seminar/498/
When
Wed Jan 27, 2016 4pm – 5pm Coordinated Universal Time
Where
Sala Seminari Dipartimento di Matematica di Pisa (map)
