6 citations · 16 across the 9 of their papers we have counts for
12 papers
Magnetic skyrmions under confinement
Antonin Monteil, Cyrill B. Muratov, Theresa M. Simon +1
We present a variational treatment of confined magnetic skyrmions in a minimal micromagnetic model of ultrathin ferromagnetic films with interfacial Dzylashinksii-Moriya interactio…
Mass concentration in rescaled first order integral functionals
Antonin Monteil, Paul Pegon
We consider first order local minimization problems of the form under a mass constraint . We prove that the minimal…
Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization
Giovanni Di Fratta, Antonin Monteil, Valeriy Slastikov
We consider -valued maps on a domain minimizing a perturbation of the Dirichlet energy with vertical penalization in and horizontal penaliz…
Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold
Antonin Monteil, Rémy Rodiac, Jean Van Schaftingen
We study the asymptotic behaviour, as a small parameter tends to zero, of minimisers of a Ginzburg-Landau type energy with a nonlinear penalisation potential vanishin…
Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains
Antonin Monteil, Rémy Rodiac, Jean Van Schaftingen
We define renormalised energies for maps that describe the first-order asymptotics of harmonic maps outside of singularities arising due to obstructions generated by the boundary d…
A necessary condition in a De Giorgi type conjecture for elliptic systems in infinite strips
Radu Ignat, Antonin Monteil
Given a bounded Lipschitz domain and a lower semicontinuous function that vanishes on a finite set and tha…