2 papers
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.AP2021
Quasiconvexity in the fractional calculus of variations: Characterization of lower semicontinuity and relaxation
Carolin Kreisbeck, Hidde Schönberger
Based on recent developments in the theory of fractional Sobolev spaces, an interesting new class of nonlocal variational problems has emerged in the literature. These problems, wh…