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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)
DOI: 10.1007/s10231-019-00887-0
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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)
DOI: 10.1007/s10231-016-0556-9
See this article