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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 -gradient constraint, , 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 , involving the distributional fractional Riesz gradient ,…