On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions

Giovanni Bellettini, Alaa Elshorbagy, Maurizio Paolini +1

In this paper we estimate from above the area of the graph of a singular map $u$ taking a disk to three vectors, the vertices of a triangle, and jumping along three $\mathcal{C}^2-…