Simone Carano

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math.CA2023

Relaxed area of $0$ -homogeneous maps in the strict $B V$ -convergence

Simone Carano

We compute the relaxed Cartesian area for general $0$ -homogeneous map of bounded variation, with respect to the strict $B V$ -convergence. In particular, we show that the relaxed are…

math.CA2023

Relaxed area of graphs of piecewise Lipschitz maps in the strict $B V$ -convergence

Giovanni Bellettini, Simone Carano, Riccardo Scala

We compute the relaxed Cartesian area in the strict $B V$ -convergence on a class of piecewise Lipschitz maps from the plane to the plane, having jump made of several curves allowed…

math.CA2023

The relaxed area of $S^{1}$ -valued singular maps in the strict $B V$ -convergence

Giovanni Bellettini, Simone Carano, Riccardo Scala

Given a bounded open set $Ω \subset R^{2}$ , we study the relaxation of the nonparametric area functional in the strict topology in $B V (Ω; R^{2})$ , and compute it for vo…

Relaxed area of 0-homogeneous maps in the strict BV-convergence

Relaxed area of graphs of piecewise Lipschitz maps in the strict BV-convergence

The relaxed area of S1-valued singular maps in the strict BV-convergence

Relaxed area of $0$ -homogeneous maps in the strict $B V$ -convergence

Relaxed area of graphs of piecewise Lipschitz maps in the strict $B V$ -convergence

The relaxed area of $S^{1}$ -valued singular maps in the strict $B V$ -convergence