QUASI-CONVEX HAMILTON-JACOBI EQUATIONS VIA LIMITS OF FINSLER p-LAPLACE PROBLEMS AS p → ∞
Résumé
In this paper we show that the maximal viscosity solution of a class of quasiconvex Hamilton-Jacobi equations, coupled with inequality constraints on the boundary, can be recovered by taking the limit as p → ∞ in a family of Finsler p-Laplace problems. The approach also enables us to provide an optimal solution to a Beckmann-type problem in general Finslerian setting and allows recovering a bench of known results based on the Evans-Gangbo technique.
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