TY - RPRT
T1 - Results on the minimization of the Dirichlet functional among semicartesian parametrizations
Y1 - 2015
A1 - Lucia Tealdi
A1 - Giovanni Bellettini
A1 - Maurizio Paolini
AB - We start to investigate the existence of conformal minimizers for the Dirichlet functional in the setting of the so-called semicartesian parametrizations, adapting to this context some techniques used in solving the classical Plateau's problem. The final goal is to find area minimizing semicartesian parametrizations spanning a Jordan curve obtained as union of two graphs; this problem appeared in the study of the relaxed area functional for maps from the plane to the plane jumping on a line.
UR - http://urania.sissa.it/xmlui/handle/1963/34488
N1 - The article is compsed of 18 pages and is recorded in PDF format
U1 - 34671
U2 - Mathematics
U4 - 1
U5 - MAT/05
ER -