1 citations · 2 across the 5 of their papers we have counts for
5 papers · 1 filter
Clearing-out of dipoles for minimisers of 2-dimensional discrete energies with topological singularities
Adriana Garroni, Mircea Petrache, Emanuele Spadaro
A key question in the analysis of discrete models for material defects, such as vortices in spin systems and superconductors or isolated dislocations in metals, is whether informat…
On the nonlinear thin obstacle problem
Anna Abbatiello, Giovanna Andreucci, Emanuele Spadaro
The thin obstacle problem or -dimensional Signorini problem is a classical variational problem arising in several applications, starting with its first introduction in elasticit…
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 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…
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…