Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

QUASI-CONVEX HAMILTON-JACOBI EQUATIONS VIA LIMITS OF FINSLER p-LAPLACE PROBLEMS AS p → ∞

Abstract : 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03279460
Contributor : Hamza Ennaji <>
Submitted on : Tuesday, July 6, 2021 - 3:06:22 PM
Last modification on : Thursday, July 15, 2021 - 4:31:23 PM

File

Finsler-p-Laplace-HJ_Jul.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03279460, version 1

Collections

Citation

Hamza Ennaji, Noureddine Igbida, Van Nguyen. QUASI-CONVEX HAMILTON-JACOBI EQUATIONS VIA LIMITS OF FINSLER p-LAPLACE PROBLEMS AS p → ∞. 2021. ⟨hal-03279460⟩

Share

Metrics

Record views

134

Files downloads

16