2 citations · 2 across the 2 of their papers we have counts for
4 papers
The -relaxed area of the graph of the vortex map: optimal upper bound
Giovanni Bellettini, Alaa Elshorbagy, Riccardo Scala
We compute an upper bound for the value of the -relaxed area of the graph of the vortex map , , $x \neq 0…
Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment
Giovanni Bellettini, Alaa Elshorbagy, Riccardo Scala
Motivated by the study of the non-parametric area of the graph of the vortex map (a two-codimensional singular surface in ) over the disc $Ω\subset \m…
The -relaxed area of the graph of the vortex map
Giovanni Bellettini, Alaa Elshorbagy, Riccardo Scala
We compute the value of the -relaxed area of the graph of the map , , , for all values of $…
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 taking a disk to three vectors, the vertices of a triangle, and jumping along three $\mathcal{C}^2-…