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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 …