97 citations · 198 across the 28 of their papers we have counts for
7 papers · 1 filter
Regularity theory for -dimensional almost minimal currents III: blowup
Camillo De Lellis, Emanuele Spadaro, Luca Spolaor
We analyze the asymptotic behavior of a -dimensional integral current which is almost minimizing in a suitable sense at a singular point. Our analysis is the second half of an a…
Uniqueness of tangent cones for -dimensional almost minimizing currents
Camillo De Lellis, Emanuele Spadaro, Luca Spolaor
We consider -dimensional integer rectifiable currents which are almost area minimizing and show that their tangent cones are everywhere unique. Our argument unifies a few unique…
Regularity theory for -dimensional almost minimal currents II: branched center manifold
Camillo De Lellis, Emanuele Spadaro, Luca Spolaor
We construct a branched center manifold in a neighborhood of a singular point of a -dimensional integral current which is almost minimizing in a suitable sense. Our construction…
Regularity theory for -dimensional almost minimal currents I: Lipschitz approximation
Camillo De Lellis, Emanuele Spadaro, Luca Spolaor
We construct Lipschitz -valued functions which approximate carefully integral currents when their cylindrical excess is small and they are almost minimizing in a suitable sense.…
An Epiperimetric Inequality for the Thin Obstacle problem
Matteo Focardi, Emanuele Spadaro
We prove an epiperimetric inequality for the thin obstacle problem, extending the pioneering results by Weiss on the classical obstacle problem (Invent. Math. 138 (1999), no. 1, 23…
Global solutions to the volume-preserving mean-curvature flow
Luca Mugnai, Christian Seis, Emanuele Spadaro
In this paper, we construct global distributional solutions to the volume-preserving mean-curvature flow using a variant of the time-discrete gradient flow approach proposed indepe…