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Cited article:

Relaxation of the area of the vortex map: A non-parametric Plateau problem for a catenoid containing a segment

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Journal of Functional Analysis 289 (5) 110947 (2025)
https://doi.org/10.1016/j.jfa.2025.110947

The L 1-relaxed area of the graph of the vortex map: Optimal upper bound

Giovanni Bellettini, Alaa Elshorbagy and Riccardo Scala
Advances in Calculus of Variations (2025)
https://doi.org/10.1515/acv-2024-0101

On the L 1-relaxed area of graphs of BV piecewise constant maps taking three values

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Advances in Calculus of Variations 18 (2) 339 (2025)
https://doi.org/10.1515/acv-2023-0108

Strict BV relaxed area of Sobolev maps into the circle: the high dimension case

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Nonlinear Differential Equations and Applications NoDEA 31 (4) (2024)
https://doi.org/10.1007/s00030-024-00941-8

Relaxed area of graphs of piecewise Lipschitz maps in the strict BV-convergence

Giovanni Bellettini, Simone Carano and Riccardo Scala
Nonlinear Analysis 239 113424 (2024)
https://doi.org/10.1016/j.na.2023.113424

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 and Riccardo Scala
Annali di Matematica Pura ed Applicata (1923 -) 199 (2) 445 (2020)
https://doi.org/10.1007/s10231-019-00887-0

Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity

Giovanni Bellettini, Maurizio Paolini and Lucia Tealdi
Annali di Matematica Pura ed Applicata (1923 -) 195 (6) 2131 (2016)
https://doi.org/10.1007/s10231-016-0556-9