Inserted: 23 jan 2002
Last Updated: 30 nov 2006
Journal: J. Optim. Theory Appl.
We show that the problem of finding the best mass distribution, both in conductivity and elasticity cases, can be approximated by means of solutions of a $p$-Laplace equation, as $p\to+\infty$. This seems to provide a selection criterion when the optimal solutions are nonunique.
Keywords: p-Laplacian, Mass Transportation Problems, shape optimization, Monge-Kantorovich PDE