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.The authors retain all rights to the original work without any restrictions.
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