10 citations · 20 across the 22 of their papers we have counts for
3 papers · 1 filter
Area minimizing surfaces in homotopy classes in metric spaces
Elefterios Soultanis, Stefan Wenger
We introduce and study a notion of relative 1-homotopy type for Sobolev maps from a surface to a metric space spanning a given collection of Jordan curves. We use this to establish…
Abstract and concrete tangent modules on Lipschitz differentiability spaces
Toni Ikonen, Enrico Pasqualetto, Elefterios Soultanis
We construct an isometric embedding from Gigli's abstract tangent module into the concrete tangent module of a space admitting a (weak) Lipschitz differentiable structure, and give…
Asymptotically mean value harmonic functions in doubling metric measure spaces
Tomasz Adamowicz, Antoni Kijowski, Elefterios Soultanis
We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds, in doubling metric measure spaces. We show that the strongl…