Browsing Preprints by Subject "semicartesian surfaces"

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Results on the minimization of the Dirichlet functional among semicartesian parametrizations

Tealdi, Lucia; Bellettini, Giovanni; Paolini, Maurizio (2015-08-07)

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 ...
Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity

Tealdi, Lucia; Bellettini, Giovanni; Paolini, Maurizio (2015-08-07)

We address the problem of estimating the area of the graph of a map u, defined on a bounded planar domain O and taking values in the plane, jumping on a segment J, either compactly contained in O or having both the end ...

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