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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
CALCVAR.pdf
accesso aperto
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Open Access
Dimensione
231.97 kB
Formato
Adobe PDF
|
231.97 kB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.