Optimal mass transportation for costs given by Finsler distances via \(p\)-Laplacian approximations

DOI10.1515/acv-2015-0052zbMath1385.49001OpenAlexW2474417426MaRDI QIDQ1693056

Julio D. Rossi, Julián Toledo, Noureddine Igbida, José M. Mazón Ruiz

Publication date: 11 January 2018

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv-2015-0052

zbMATH Keywords

mass transportMonge-Kantorovich problemsKantorovich potentialFinsler costsFinsler metric \(p\)-Laplacian equationvariational problems of \(p\)-Laplacian type

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (9)

Beckmann-type problem for degenerate Hamilton-Jacobi equations ⋮ Quasi-Convex Hamilton--Jacobi Equations via Finsler $p$-Laplace--Type Operators ⋮ From weak to strong convergence of the gradients for Finsler \(p\)-Laplacian problems as \(p \to \infty\) ⋮ Optimal partial mass transportation and obstacle Monge-Kantorovich equation ⋮ Sub-gradient diffusion operator ⋮ Monge-Kantorovich equation for degenerate Finsler metrics ⋮ Comparison principles for infinity-Laplace equations in Finsler metrics ⋮ Harnack inequality and an asymptotic mean-value property for the Finsler infinity-Laplacian ⋮ Optimal matching problems with costs given by Finsler distances

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