6 citations · 20 across the 19 of their papers we have counts for
5 papers · 1 filter
On jump minimizing liftings for -valued maps and connections with Ambrosio-Tortorelli-type -limits
Giovanni Bellettini, Roberta Marziani, Riccardo Scala
This paper is concerned with the -limits of Ambrosio-Tortorelli-type functionals, for maps defined on an open bounded set and taking values in the unit…
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…
Minimizing movements for the generalized power mean curvature flow
Giovanni Bellettini, Shokhrukh Yu. Kholmatov
Motivated by a conjecture of De Giorgi, we consider the Almgren-Taylor-Wang scheme for mean curvature flow, where the volume penalization is replaced by a term of the form \[ \int_…
Crystalline hexagonal curvature flow of networks: short-time, long-time and self-similar evolutions
Giovanni Bellettini, Shokhrukh Kholmatov, Firdavsjon Almuratov
We study the crystalline curvature flow of planar networks with a single hexagonal anisotropy. After proving the local existence of a classical solution for a rather large class of…
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 $…