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 L. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 14:3(2002), pp. 249-274. [10.1007/s005260100086]

Regularity properties for Monge transport density and for solutions of some shape optimization problem

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.
2002
14
249
274
PRATELLI A.; DE PASCALE L
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1070977
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