A. Azevedo

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math.AP2022

Nonlocal Lagrange multipliers and transport densities

Assis Azevedo, José Francisco Rodrigues, Lisa Santos

We prove the existence of generalised solutions of the Monge-Kantorovich equations with fractional $s$ -gradient constraint, $0 < s < 1$ , associated to a general, possibly degenerate, l…

math.AP2022

On a class of nonlocal problems with fractional gradient constraint

A. Azevedo, J. F. Rodrigues, L. Santos

We consider a Hilbertian and a charges approach to fractional gradient constraint problems of the type $∣ D^{σ} u ∣ \leq g$ , involving the distributional fractional Riesz gradient $D^{σ}$ ,…