97 citations · 198 across the 28 of their papers we have counts for
4 papers · 1 filter
Mean-convex sets and minimal barriers
Emanuele Spadaro
A mean-convex set can be regarded as a barrier for the construction of minimal surfaces. Namely, if we are given a mean-convex set and a null-homotopic Jordan curve on its boundary…
A representation formula for the p-Energy of metric space valued Sobolev maps
Philippe Logaritsch, Emanuele Spadaro
We give an explicit representation formula for the p-energy of Sobolev maps with values in a metric space as defined by Korevaar and Schoen (Comm. Anal. Geom. 1 (1993), no.~3-4, 56…
Droplet Minimizers of an Isoperimetric Problem with long-range interactions
Marco Cicalese, Emanuele Spadaro
We give a detailed description of the geometry of single droplet patterns in a nonlocal isoperimetric problem. In particular we focus on the sharp interface limit of the Ohta-Kawas…
Center Manifold: a case study
Camillo De Lellis, Emanuele Nunzio Spadaro
Following Almgren's construction of the "center manifold" in his Big regularity paper, we show the C^{3,α} regularity of area-minimizing currents in the neighborhood of points of d…