On the area of the graph of a singular map from the plane to the plane taking three values

Maurizio Paolini; Giovanni Bellettini

doi:10.1515/ACV.2010.015

On the area of the graph of a singular map from the plane to the plane taking three values

Maurizio Paolini
, Giovanni Bellettini

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	371-386
Number of pages	16
Journal	Advances in Calculus of Variations
Volume	3
DOIs	https://doi.org/10.1515/ACV.2010.015
Publication status	Published - 2010

Keywords

area of graph
minimal surfaces
singular maps

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10.1515/ACV.2010.015

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title = "On the area of the graph of a singular map from the plane to the plane taking three values",

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.",

keywords = "area of graph, minimal surfaces, singular maps, area of graph, minimal surfaces, singular maps",

author = "Maurizio Paolini and Giovanni Bellettini",

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language = "English",

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journal = "Advances in Calculus of Variations",

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T1 - On the area of the graph of a singular map from the plane to the plane taking three values

AU - Paolini, Maurizio

AU - Bellettini, Giovanni

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - area of graph

KW - minimal surfaces

KW - singular maps

KW - area of graph

KW - minimal surfaces

KW - singular maps

UR - http://hdl.handle.net/10807/12187

U2 - 10.1515/ACV.2010.015

DO - 10.1515/ACV.2010.015

M3 - Article

SN - 1864-8258

VL - 3

SP - 371

EP - 386

JO - Advances in Calculus of Variations

JF - Advances in Calculus of Variations

ER -

On the area of the graph of a singular map from the plane to the plane taking three values

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Keywords

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