We improve an estimate given by Acerbi and Dal Maso in 1994, concerning the area of the graph of a singular map from the disk of R2 into R2, taking only three values, and jumping on three half-lines meeting at the origin in a triple junction.
Paolini, M., Bellettini, G., On the area of the graph of a singular map from the plane to the plane taking three values, <<ADVANCES IN CALCULUS OF VARIATIONS>>, 2010; 3 (4): 371-386. [doi:10.1515/ACV.2010.015] [http://hdl.handle.net/10807/12187]
On the area of the graph of a singular map from the plane to the plane taking three values
Paolini, Maurizio;Bellettini, Giovanni
2010
Abstract
We improve an estimate given by Acerbi and Dal Maso in 1994, concerning the area of the graph of a singular map from the disk of R2 into R2, taking only three values, and jumping on three half-lines meeting at the origin in a triple junction.
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