In this paper we study the dimension of some measures which are related to the classical Monge's optimal mass transport problem and are solutions of a scalar shape optimization problem. Moreover in the case of maximal dimension we will study the summability of the associate densities.
Regularity properties for Monge transport density and for solutions of some shape optimization problem
PRATELLI A.;DE PASCALE, LUIGI
2002-01-01
Abstract
In this paper we study the dimension of some measures which are related to the classical Monge's optimal mass transport problem and are solutions of a scalar shape optimization problem. Moreover in the case of maximal dimension we will study the summability of the associate densities.File in questo prodotto:
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