00953nas a2200121   4500008004100000245009700041210006900138520050800207100001800715700002500733700002200758856005100780       2015                        en  d00aResults on the minimization of the Dirichlet functional among semicartesian parametrizations0 aResults on the minimization of the Dirichlet functional among se3 a<p>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.</p>1 aTealdi, Lucia1 aBellettini, Giovanni1 aPaolini, Maurizio  uhttp://urania.sissa.it/xmlui/handle/1963/34488