Variational inequalities and a transport planning for an elastic and continuum model

G. Idone; A. Maugeri

doi:10.3934/jimo.2005.1.81

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2005, Volume 1, Issue 1: 81-86. Doi: 10.3934/jimo.2005.1.81

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Variational inequalities and a transport planning for an elastic and continuum model

G. Idone^1, and
A. Maugeri^2,

1.
D.I.M.E.T., Faculty of Engineering, University of Reggio Calabria, Località Feo di Vito -- 89060 Reggio Calabria
2.
Department of Mathematics and Computer Science, University of Catania, Viale A. Doria, 6 -- 95125 Catania

Received: March 31, 2004

Revised: September 30, 2004

Published: December 2004

Abstract Related Papers Cited by

Abstract

A continuum model of transportation network with elastic demand is presented. The equilibrium conditions are expressed in terms of a Variational Inequality and some existence theorems are proved.

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Mathematics Subject Classification: 90B20, 49J20, 49J40, 90B50.

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