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Results on the minimization of the Dirichlet functional among semicartesian parametrizations

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dc.contributor.author Tealdi, Lucia
dc.contributor.author Bellettini, Giovanni
dc.contributor.author Paolini, Maurizio
dc.date.accessioned 2015-08-10T07:53:58Z
dc.date.available 2015-08-10T07:53:58Z
dc.date.issued 2015-08-07
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/34488
dc.description The article is compsed of 18 pages and is recorded in PDF format en_US
dc.description.abstract 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. en_US
dc.language.iso en en_US
dc.subject Dirichlet energy en_US
dc.subject area-minimizing surfaces en_US
dc.subject semicartesian surfaces en_US
dc.title Results on the minimization of the Dirichlet functional among semicartesian parametrizations en_US
dc.type Preprint en_US
dc.subject.miur MAT/05 en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US


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