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- Publisher
- Springer Journals
- Copyright
- Copyright © 2000 by Springer-Verlag Berlin Heidelberg & EMS
- Subject
- Mathematics; Mathematics, general
- ISSN
- 1435-9855
- DOI
- 10.1007/s100970000027
- Publisher site
- See Article on Publisher Site
Abstract
We study some problems of optimal distribution of masses, and we show that they can be characterized by a suitable Monge-Kantorovich equation. In the case of scalar state functions, we show the equivalence with a mass transport problem, emphasizing its geometrical approach through geodesics. The case of elasticity, where the state function is vector valued, is also considered. In both cases some examples are presented.
Journal
Journal of the European Mathematical Society – Springer Journals
Published: May 1, 2001