Results on the minimization of the Dirichlet functional among semicartesian parametrizations
dc.contributor.area | Mathematics | en_US |
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.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.identifier.uri | https://openscience.sissa.it/handle/1963/34488 | |
dc.language.iso | en | en_US |
dc.miur.area | 1 | en_US |
dc.subject | Dirichlet energy | en_US |
dc.subject | area-minimizing surfaces | en_US |
dc.subject | semicartesian surfaces | en_US |
dc.subject.miur | MAT/05 | en_US |
dc.title | Results on the minimization of the Dirichlet functional among semicartesian parametrizations | en_US |
dc.type | Preprint | en_US |
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