Inserted: 3 mar 2021
Last Updated: 29 mar 2021
We compute the value of the $L^1$-relaxed area of the graph of the map $u:B_l(0)\subset\mathbb R^2\rightarrow\mathbb R^2$,
$, $x\neq0$, for all values of $l>0$. Interestingly, for $l$ in a certain range, in particular $l$ not too large, a Plateau-type problem, having as solution a sort of catenoid constrained to contain a segment, has to be solved.