3 papers
math.AP2025
On the existence of extensions for manifold-valued Sobolev maps on perforated domains
Chiara Gavioli, Leon Happ, Valerio Pagliari
Motivated by manifold-constrained homogenization problems, we construct suitable extensions for Sobolev functions defined on a perforated domain and taking values in a compact, con…
math.AP2025
Homogenization of nonlocal exchange energies in micromagnetics
Rossella Giorgio, Leon Happ, Hidde Schönberger
We study the homogenization of nonlocal micromagnetic functionals incorporating both symmetric and antisymmetric exchange contributions under the physical constraint that the magne…
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…