TY - UNPB
T1 - On different notions of calibrations for minimal partitions and minimal networks in ℝ2
AU - Carioni, Marcello
AU - Pluda, Alessandra
PY - 2018
Y1 - 2018
N2 - Calibrations are a possible tool to validate the minimality of a certain candidate. They have been introduced in the context of minimal surfaces [4, 11, 14] and adapted to the case of the Steiner problem in several variants. Our goal is to compare the different notions of calibrations for the Steiner Problem and for planar minimal partitions appearing in [8, 15, 16]. The paper is then complemented with remarks on the convexification of the problem, on non–existence of calibrations and on calibrations in families.
AB - Calibrations are a possible tool to validate the minimality of a certain candidate. They have been introduced in the context of minimal surfaces [4, 11, 14] and adapted to the case of the Steiner problem in several variants. Our goal is to compare the different notions of calibrations for the Steiner Problem and for planar minimal partitions appearing in [8, 15, 16]. The paper is then complemented with remarks on the convexification of the problem, on non–existence of calibrations and on calibrations in families.
U2 - 10.48550/arXiv.1805.11397
DO - 10.48550/arXiv.1805.11397
M3 - Working paper
BT - On different notions of calibrations for minimal partitions and minimal networks in ℝ2
PB - ArXiv.org
ER -