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

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.
Pratelli, A.; DE PASCALE, Luigi
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/70796
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