97 citations · 198 across the 28 of their papers we have counts for
7 papers · 1 filter
The Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensions
Vesa Julin, Massimiliano Morini, Marcello Ponsiglione +1
We provide the first general result for the asymptotics of the area preserving mean curvature flow in two dimensions showing that flat flow solutions, starting from any bounded set…
Regularity of higher codimension area minimizing integral currents
Emanuele Spadaro
This lecture notes are an expanded version of the course given at the ERC-School on Geometric Measure Theory and Real Analysis, held in Pisa, September 30th - October 30th 2013. Th…
Multiple valued functions and integral currents
Camillo De Lellis, Emanuele Spadaro
We prove several results on Almgren's multiple valued functions and their links to integral currents. In particular, we give a simple proof of the fact that a Lipschitz multiple va…
Regularity of area minimizing currents I: gradient L^p estimates
Camillo De Lellis, Emanuele Spadaro
In a series of papers, including the present one, we give a new, shorter proof of Almgren's partial regularity theorem for area minimizing currents in a Riemannian manifold, with a…
Regularity of area minimizing currents III: blow-up
Camillo De Lellis, Emanuele Spadaro
This is the last of a series of three papers in which we give a new, shorter proof of a slightly improved version of Almgren's partial regularity of area minimizing currents in Rie…
Regularity of area minimizing currents II: center manifold
Camillo De Lellis, Emanuele Spadaro
This is the second paper of a series of three on the regularity of higher codimension area minimizing integral currents. Here we perform the second main step in the analysis of the…