Alaa Elshorbagy

activity

20192024

most citedThe

L^{1}

-relaxed area of the graph of the vortex map

2 citations · 4 across the 4 of their papers we have counts for

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2 papers · 1 filter

math.AP2024★ 1 cited

The $L^{1}$ -relaxed area of the graph of the vortex map: optimal upper bound

Giovanni Bellettini, Alaa Elshorbagy, Riccardo Scala

We compute an upper bound for the value of the $L^{1}$ -relaxed area of the graph of the vortex map $u : B_{l} (0) \subset R^{2} \to R^{2}$ , $u (x) := x /∣ x ∣$ , $x \neq 0…

math.AP2024★ 1 cited

Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment

Giovanni Bellettini, Alaa Elshorbagy, Riccardo Scala

Motivated by the study of the non-parametric area $A$ of the graph of the vortex map $u$ (a two-codimensional singular surface in $R^{4}$ ) over the disc $Ω\subset \m…

The L1-relaxed area of the graph of the vortex map: optimal upper bound

Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment

The $L^{1}$ -relaxed area of the graph of the vortex map: optimal upper bound