Journal of the European Mathematical Society
Full-Text PDF (249 KB) | Metadata | Table of Contents | JEMS summary
Published online: 2001-06-30
Characterization of optimal shapes and masses through Monge-Kantorovich equationGuy Bouchitté and Giuseppe Buttazzo (1) Université de Toulon et du Var, La Garde, France
(2) Università di Pisa, Italy
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.
No keywords available for this article.
Bouchitté Guy, Buttazzo Giuseppe: Characterization of optimal shapes and masses through Monge-Kantorovich equation. J. Eur. Math. Soc. 3 (2001), 139-168. doi: 10.1007/s100970000027