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 ℝ 2 into ℝ 2, taking only three values, and jumping on three half-lines meeting at the origin in a triple junction.
Bellettini, G., Paolini, M. (2010). On the area of the graph of a singular map from the plane to the plane taking three values. ADVANCES IN CALCULUS OF VARIATIONS, 3(4), 371-386 [10.1515/ACV.2010.015].
On the area of the graph of a singular map from the plane to the plane taking three values
BELLETTINI, GIOVANNI;
2010-01-01
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 ℝ 2 into ℝ 2, taking only three values, and jumping on three half-lines meeting at the origin in a triple junction.
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https://hdl.handle.net/11365/1017415