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

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

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. [PUBLICAT...

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Veröffentlicht in:Calculus of variations and partial differential equations 2002-04, Vol.14 (3), p.249-274
Hauptverfasser: De Pascale, Luigi, Pratelli, Aldo
Format: Artikel
Sprache:eng
Schlagworte:
Calculus
Calculus of variations
Density
Dimensional analysis
Parameter optimization
Partial differential equations
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Zusammenfassung: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. [PUBLICATION ABSTRACT]
ISSN:0944-2669
1432-0835
DOI:10.1007/s005260100086