Existence and uniqueness of domain walls for notched ferromagnetic nanowires Raphaël Côte, Clémentine Courtès, Guillaume Ferrière, Ludovic Godard-Cadillac and Yannick Privat ESAIM: COCV, 31 (2025) 60 Published online: 18 July 2025 DOI: 10.1051/cocv/2025051