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20242026
most citedNonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions

1 citations · 1 across the 4 of their papers we have counts for

collaborators

6 papers

math.AP2026

Improved Regularity for Nonlocal Hamilton--Jacobi Equations with Superlinear Hamiltonians

Adina Ciomaga, Tri Minh Lê, Olivier Ley +1

We investigate the regularity of viscosity solutions to a class of nonlocal Hamilton-Jacobi equations driven by x-dependent integro-differential operators and coercive superlinear…

math.AP2025

Degenerate Elliptic PDEs on a Network with Kirchhoff Conditions

Guy Barles, Olivier Ley, Erwin Topp

In this article, we are interested in semilinear, possibly degenerate elliptic equations posed on a general network, with nonlinear Kirchhoff-type conditions for its interior verti…

math.AP2025

Approximation of an optimal control problem on a network with a perturbed problem in the whole space

Mohamed Camar-Eddine, Mériadec Chuberre, Mounir Haddou +1

A classical optimal control problem posed in the whole space R^2 is perturbed by a singular term of magnitude ^{-1} aimed at driving the trajectories to a prescribed network …

math.AP2024★ 1 cited

Nonlocal Hamilton-Jacobi Equations on a network with Kirchhoff type conditions

Guy Barles, Olivier Ley, Erwin Topp

In this article, we consider nonlocal Hamilton-Jacobi Equations on networks with Kirchhoff type conditions for the interior vertices and Dirichlet boundary conditions for the bound…

math.AP2024

Comparison principle for general nonlocal Hamilton-Jacobi equations with superlinear gradient

Adina Ciomaga, Tri Minh Le, Olivier Ley +1

We obtain the comparison principle for discontinuous viscosity sub- and supersolutions of nonlocal Hamilton-Jacobi equations, with superlinear and coercive gradient terms. The nonl…

math.OC2024

Solving Nonlinear Absolute Value Equations

Aris Daniilidis, Mounir Haddou, Tri Minh Le +2

In this work, we show that several problems naturally represented as Nonlinear Absolute Value Equations (NAVE) can be reformulated as Nonlinear Complementarity Problems (NCP) and e…