4 citations · 7 across the 8 of their papers we have counts for
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math.MG2019
Maximal metric surfaces and the Sobolev-to-Lipschitz property
Paul Creutz, Elefterios Soultanis
We find maximal representatives within equivalence classes of metric spheres. For Ahlfors regular spheres these are uniquely characterized by satisfying the seemingly unrelated not…
math.MG2019
Space of minimal discs and its compactification
Paul Creutz
We investigate the class of geodesic metric discs satisfying a uniform quadratic isoperimetric inequality and uniform bounds on the length of the boundary circle. We show that the…
math.DG2019
Plateau's problem for singular curves
Paul Creutz
We give a solution of Plateau's problem for singular curves possibly having self-intersections. The proof is based on the solution of Plateau's problem for Jordan curves in very ge…