1011.0236Nov 1, 201011 pages, 1 figure; v2 Appendix added on a stronger maximum principle in Euclidean Wasserstein space from the work of Agueh and Carlier; v3 minor typos corrected
A maximum principle for pointwise energies of quadratic Wasserstein minimal networks
Jonathan Dahl
Abstract
We show that suitable convex energy functionals on a quadratic Wasserstein space satisfy a maximum principle on minimal networks. We explore consequences of this maximum principle for the structure of minimal networks.