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20122025
most citedFree boundary minimal surfaces of any topological type in Euclidean balls via shape optimization

17 citations · 26 across the 11 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.DG2018★ 1 cited

Existence of Min-Max Free Boundary Disks Releasing the Width of a Manifold

Paul Laurain, Romain Petrides

We perform a replacement procedure in order to produce a free boundary minimal surface whose area achieves the min-max value over all disk sweepouts of a manifold whose boundary li…

math.DG2018★ 2 cited

Monotonicity results for the first Steklov eigenvalue on compact surfaces

Henrik Matthiesen, Romain Petrides

We show several results comparing sharp eigenvalue bounds for the first Steklov eigenvalue on surfaces under change of the topology. Among others, we obtain strict monotonicity in…