We can apply this result to the minimization of anisotropic energies among families of d-rectifiable closed subsets of $R^n$, closed under Lipschitz deformations (in any dimension and codimension). Easy corollaries of this compactness result are the solutions to three formulations of the Plateau problem: one introduced by Reifenberg, one proposed by Harrison and Pugh and another one studied by Guy David.
Moreover, we apply the rectifiability theorem to the energy minimization in classes of varifolds and to a compactness result of integral varifolds in the anisotropic setting.
Finally, we show some connections of the Plateau problem with branched transport, minimizing concave costs among 1-dimensional currents. In particular, we prove a stability result for the optimal transports.
http://cvgmt.sns.it/seminar/579/
When | Wed Mar 29, 2017 3pm – 4pm Coordinated Universal Time |
Where | Sala Seminari (Dipartimento di Matematica di Pisa) (map) |