6 papers
Approximation of symmetric total variation on point clouds
Stefano Almi, Anna Kubin, Emanuele Tasso
The paper investigates the approximation of the symmetric Total Variation functional on graphs. Such an approximation is given in terms of a discrete and symmetric finite differenc…
Besicovitch-Federer projection theorem for measures
Emanuele Tasso
In this paper we establish a Besicovitch-Federer type projection theorem for general measures. Specifically, let be a finite Borel measure on and let $0 < m < n…
On De Giorgi's Conjecture of Nonlocal approximations for free-discontinuity problems: The symmetric gradient case
Stefano Almi, Elisa Davoli, Anna Kubin +1
We prove that E. De Giorgi's conjecture for the nonlocal approximation of free-discontinuity problems extends to the case of functionals defined in terms of the symmetric gradient…
Effective theories for incompressible magnetoelastic shallow shells
Emanuele Tasso, Tobias Unterberger
We characterize the asymptotic behaviour, in the sense of -convergence, of a thin magnetoelastic shallow shell. The compactness is achieved up to rigid motions. For deformation…
Rectifiability of a class of integralgeometric measures and applications
Emanuele Tasso
We resolve a long-standing open problem posed by Federer concerning the rectifiability of the integral geometric measure with exponent p >1, thereby settling a question that has pe…
Non-local non-homogeneous phase transitions: regularity of optimal profiles and sharp-interface limit
Elisa Davoli, Emanuele Tasso
We provide a novel sharp-interface analysis via Gamma-convergence for a non-local and non-homogeneous diffuse-interface model for phase transitions, featuring an interplay between…