1 citations · 2 across the 5 of their papers we have counts for
5 papers
Two slope functions minimizing fractional seminorms and applications to misfit dislocations
Lucia De Luca, Marcello Ponsiglione, Emanuele Spadaro
We consider periodic piecewise affine functions, defined on the real line, with two given slopes and prescribed length scale of the regions where the slope is negative. We prove th…
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…
The classical obstacle problem for nonlinear variational energies
Matteo Focardi, Francesco Geraci, Emanuele Spadaro
We develop the complete free boundary analysis for solutions to classical obstacle problems related to nondegenerate nonlinear variational energies. The key tools are optimal $C^{1…
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…
Improved estimate of the singular set of Dir-minimizing Q-valued functions via an abstract regularity result
Matteo Focardi, Andrea Marchese, Emanuele Spadaro
In this note we prove an abstract version of a recent quantitative stratifcation priciple introduced by Cheeger and Naber (Invent. Math., 191 (2013), no. 2, 321-339; Comm. Pure App…