3 papers
math.AP2025
Necessary and Sufficient Conditions for the Maz'ya-Shaposhnikova Formula in (Fractional) Sobolev Spaces
Elisa Davoli, Giovanni Di Fratta, Rossella Giorgio +1
We investigate the asymptotic behavior, as , of nonlocal functionals $$ \mathcal{F}_{\varepsilon}(u) = \iint_{\mathbb{R}^N\times\mathbb{R}^N} ρ_{\varepsilon}(y-x…
math.AP2023
Sufficient conditions for the existence of minimizing harmonic maps with axial symmetry in the small-average regime
Giovanni Di Fratta, Valeriy Slastikov, Arghir Zarnescu
The paper concerns the analysis of global minimizers of a Dirichlet-type energy functional defined on the space of vector fields , where and are surfaces of revol…
math.AP2020
Spin-diffusion model for micromagnetics in the limit of long times
Giovanni Di Fratta, Ansgar Jüngel, Dirk Praetorius +1
In this paper, we consider spin-diffusion Landau-Lifshitz-Gilbert equations (SDLLG), which consist of the time-dependent Landau-Lifshitz-Gilbert (LLG) equation coupled with a time-…