A maximum principle for pointwise energies of quadratic Wasserstein minimal networks
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2010
- DOI:
- arXiv:
- arXiv:1011.0236
- Bibcode:
- 2010arXiv1011.0236D
- Keywords:
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- Mathematics - Analysis of PDEs
- E-Print:
- 11 pages, 1 figure