2021
DOI: 10.1090/qam/1606
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Beckmann-type problem for degenerate Hamilton-Jacobi equations

Abstract: The aim of this note is to give a Beckmann-type problem as well as the corresponding optimal mass transportation problem associated with a degenerate Hamilton-Jacobi equation H ( x , ∇ u ) = 0 , H(x,\nabla u)=0, coupled with non-zero Dirichlet condition u = g u=g on ∂ Ω \partial \Omega . In this article, the Hamiltonian H H is continu… Show more

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Cited by 4 publications
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“…And, Dirichlet one for p is connected to the possibility of crossing other part of the boundary (exits) without any charge. One can see [33] for other possibilities of boundary conditions and their interpretations.…”
mentioning
confidence: 99%
“…And, Dirichlet one for p is connected to the possibility of crossing other part of the boundary (exits) without any charge. One can see [33] for other possibilities of boundary conditions and their interpretations.…”
mentioning
confidence: 99%