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Cited article:

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Optimal Transport Approach to Sobolev Regularity of Solutions to the Weighted Least Gradient Problem

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SIAM Journal on Mathematical Analysis 55 (3) 1916 (2023)
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W1,p regularity on the solution of the BV least gradient problem with Dirichlet condition on a part of the boundary

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$$L^p$$ L p bounds for boundary-to-boundary transport densities, and $$W^{1,p}$$ W 1 , p bounds for the BV least gradient problem in 2D

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Calculus of Variations and Partial Differential Equations 58 (1) (2019)
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Summability estimates on transport densities with Dirichlet regions on the boundaryviasymmetrization techniques

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Augmented Lagrangian Method for Optimal Partial Transportation

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Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations

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Optimal Transportation with Traffic Congestion and Wardrop Equilibria

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