Quasi-Convex Hamilton--Jacobi Equations via Finsler $p$-Laplace--Type Operators

DOI10.1137/21M143306XzbMath1496.35163arXiv2107.02606OpenAlexW4293832923WikidataQ114074005 ScholiaQ114074005MaRDI QIDQ5104099

Hamza Ennaji, Van Thanh Nguyen, Noureddine Igbida

Publication date: 9 September 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.02606

zbMATH Keywords

Hamilton-Jacobi equation $p$-Laplace operator Finsler structure maximal viscosity solution Beckman problem inequality constraints on the boundary

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (1)

From weak to strong convergence of the gradients for Finsler $p$-Laplacian problems as $p \to \infty$

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On the classical limit of the Schrödinger equation
Convergence of the solutions of the discounted equation: the discrete case
A kinetic eikonal equation
The Neumann problem for the $\infty$-Laplacian and the Monge--Kantorovich mass transfer problem
Limits for Monte-Kantorovich mass transport problems
Introductory lectures on convex optimization. A basic course.
Optimal mass transportation for costs given by Finsler distances via $p$-Laplacian approximations
Optimal partial mass transportation and obstacle Monge-Kantorovich equation
PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians
Monge-Kantorovich equation for degenerate Finsler metrics
Augmented Lagrangian methods for degenerate Hamilton-Jacobi equations
Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
A nonhomogeneous boundary value problem in mass transfer theory
An optimal transportation problem with a cost given by the Euclidean distance plus import/export taxes on the boundary
Energies with respect to a measure and applications to low dimensional structures
Viscosity Solutions of Hamilton-Jacobi Equations
Differential equations methods for the Monge-Kantorovich mass transfer problem
Augmented Lagrangian Method for Optimal Partial Transportation
Weighted Beckmann problem with boundary costs
Beckmann-type problem for degenerate Hamilton-Jacobi equations
Convex Bodies The Brunn-MinkowskiTheory
Diffusion processes in a small time interval

This page was built for publication: Quasi-Convex Hamilton--Jacobi Equations via Finsler $p$-Laplace--Type Operators