3 papers
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 ,…
math.NT2012
Dynamics of a quasi-quadratic map
Assis Azevedo, Maria Carvalho, António Machiavelo
We consider the map X defined on the rational numbers given by x --> x * ceil(x), where ceil(x) denotes the smallest integer greater than or equal to x, and study the problem of fi…