3 papers
math.FA2025
Nonlocal perimeters and variations: Extremality and decomposability for finite and infinite horizons
Marcello Carioni, Leonardo Del Grande, José A. Iglesias +1
We analyze the extremality and decomposability properties with respect to two types of nonlocal perimeters available in the literature, the Gagliardo perimeter based on the eponymo…
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
-convergence involving nonlocal gradients with varying horizon: Recovery of local and fractional models
Javier Cueto, Carolin Kreisbeck, Hidde Schönberger
This work revolves around the rigorous asymptotic analysis of models in nonlocal hyperelasticity. The corresponding variational problems involve integral functionals depending on n…