M. Badran, G. Cozzi:
Uniform small energy regularity for fractional geometric problems
(preprint) http://arxiv.org/abs/2605.06128 2026

M. Badran, A. Halavati, M. A. M. Guaraco:
Integral curvature estimates and geodesic limits for stable abelian Higgs fields
(preprint) http://arxiv.org/abs/2609.21893 2026

M. Badran:
Stable solutions in the abelian Higgs model
(preprint) http://arxiv.org/abs/2609.11647 2026

M. Badran, M. Del Pino, M. A. M. Guaraco:
A two-dimensional Allen-Cahn theory for interfaces with boundary
(preprint) http://arxiv.org/abs/2607.29588 2026