Given a bounded open set Ω⊂ ℝ 2, we study the relaxation of the nonparametric area
functional in the strict topology in BV (Ω; ℝ 2). and compute it for vortex-type maps, and more …

Relaxed area of 0-homogeneous maps in the strict BV-convergence | Annali di Matematica
Pura ed Applicata (1923 -) Skip to main content SpringerLink Account Menu Find a journal …

Given a bounded open connected set Ω⊂ ℝ 2 with Lipschitz boundary, we consider the
class of piecewise constant maps u taking three fixed values α, β, γ∈ ℝ 2, vertices of an …

We consider a Plateau problem in codimension $1 $ in the non-parametric setting. A
Dirichlet boundary datum is given only on part of the boundary $\partial\Omega $ of a …

Given a bounded open connected Lipschitz set $\Omega\subset\mathbb R^ 2$, we show
that the relaxed Cartesian area functional $\overline {\mathcal A}(u,\Omega) $ of a map …

Given a connected bounded open Lipschitz set R2, we show that the relaxed Cartesian area
functional Au;/of a map u 2 W 1; 1. IS 1/is finite, and we provide a useful upper bound for its …

Given a bounded open set $\Omega\subset\mathbb {R}^ 2$, we study the relaxation of the
nonparametric area functional in the strict topology in $ BV (\Omega;\mathbb {R}^ 2) $, and …

In this thesis we address the problem of relaxation of the Cartesian area functional with
respect to the strict convergence in $ BV $ for maps $ u:\Om\subset\R^ 2\to\R^ 2$. The …