3 papers
math.AP2024
Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the Bethuel-Zheng theory
Elisa Davoli, Leon Happ
In this paper we prove a strong two-scale approximation result for sphere-valued maps in , where is an open domain and $…
math.AP2024
A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions
Elisa Davoli, Giovanni Di Fratta, Rossella Giorgio
The present study concerns the nonlocal-to-local convergence of a family of exchange energy functionals in the limit of very short-range interactions. The analysis accounts for bot…
math.AP2023
A modular Poincaré-Wirtinger type inequality on Lipschitz domains for Sobolev spaces with variable exponents
Elisa Davoli, Giovanni Di Fratta, Alberto Fiorenza +1
In the context of Sobolev spaces with variable exponents, Poincaré--Wirtinger inequalities are possible as soon as Luxemburg norms are considered. On the other hand, modular versio…