Xin-Ye Li

Existence and strong-field asymptotics of skyrmions in a fourth-order model of frustrated ferromagnets

We study a fourth-order variational model for two-dimensional frustrated ferromagnets with competing exchange interactions and an applied magnetic field of strength $H>0$. For every $H>1/4$, we prove that the energy admits minimizers in the topological classes $Q=\pm1$ and that every minimizing sequence is precompact i...