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• W3048353404 abstract "We study the vanishing discount problem for a nonlinear monotone system of Hamilton–Jacobi equations. This continues the first author’s investigation on the vanishing discount problem for a monotone system of Hamilton–Jacobi equations. As in part 1, we introduce by the convex duality Mather measures and their analogues for the system, which we call respectively Mather and Green–Poisson measures, and prove a convergence theorem for the vanishing discount problem. Moreover, we establish an existence result for the ergodic problem." @default.
• W3048353404 created "2020-08-13" @default.
• W3048353404 creator A5065457269 @default.
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• W3048353404 date "2020-08-01" @default.
• W3048353404 modified "2023-10-16" @default.
• W3048353404 title "The vanishing discount problem for monotone systems of Hamilton–Jacobi equations: part 2—nonlinear coupling" @default.
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• W3048353404 doi "https://doi.org/10.1007/s00526-020-01768-8" @default.
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