The nonlinear continuum traffic equilibrium problem and a related Dirichlet problem for quasilinear elliptic equations
Abstract
In the framework of continuum models, a system-optimization problem for transportation networks is studied in nonlinear case. Some results of convex analysis are used to prove the existence theorems and to derive variational inequalities for optimal flow. A nonhomogeneous Dirichlet problem is proved to solve the minimization problem, provided that some non standard conditions on first derivatives of the solutions are fulfilled.Downloads
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